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Finding the Fourth Proportional to 642,128.70, 963,193.05 and 327,200.70

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Solution

The fourth proportional to 642,128.70, 963,193.05 and 327,200.70 is: 490,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,128.70 : 963,193.05 = 327,200.70 : x
  2. Step 2: Convert to fraction form
    642,128.70/963,193.05 = 327,200.70/x
  3. Step 3: Cross multiply
    642,128.70x = 963,193.05 × 327,200.70
  4. Step 4: Simplify right side
    642,128.70x = 315,157,440,195.14
  5. Step 5: Solve for x
    x = 315,157,440,195.14/642,128.70
  6. Step 6: Final answer
    x = 490,801.05

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.