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Finding the Fourth Proportional to 470,220.20, 705,330.30 and 137,796.20

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Solution

The fourth proportional to 470,220.20, 705,330.30 and 137,796.20 is: 206,694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,220.20 : 705,330.30 = 137,796.20 : x
  2. Step 2: Convert to fraction form
    470,220.20/705,330.30 = 137,796.20/x
  3. Step 3: Cross multiply
    470,220.20x = 705,330.30 × 137,796.20
  4. Step 4: Simplify right side
    470,220.20x = 97,191,835,084.86
  5. Step 5: Solve for x
    x = 97,191,835,084.86/470,220.20
  6. Step 6: Final answer
    x = 206,694.30

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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.