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Finding the Fourth Proportional to 642,735.90, 964,103.85 and 407,123.10

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Solution

The fourth proportional to 642,735.90, 964,103.85 and 407,123.10 is: 610,684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,735.90 : 964,103.85 = 407,123.10 : x
  2. Step 2: Convert to fraction form
    642,735.90/964,103.85 = 407,123.10/x
  3. Step 3: Cross multiply
    642,735.90x = 964,103.85 × 407,123.10
  4. Step 4: Simplify right side
    642,735.90x = 392,508,948,133.94
  5. Step 5: Solve for x
    x = 392,508,948,133.94/642,735.90
  6. Step 6: Final answer
    x = 610,684.65

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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.