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Finding the Fourth Proportional to 415,223.30, 622,834.96 and 99,680.20

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Solution

The fourth proportional to 415,223.30, 622,834.96 and 99,680.20 is: 149,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,223.30 : 622,834.96 = 99,680.20 : x
  2. Step 2: Convert to fraction form
    415,223.30/622,834.96 = 99,680.20/x
  3. Step 3: Cross multiply
    415,223.30x = 622,834.96 × 99,680.20
  4. Step 4: Simplify right side
    415,223.30x = 62,084,313,379.79
  5. Step 5: Solve for x
    x = 62,084,313,379.79/415,223.30
  6. Step 6: Final answer
    x = 149,520.30

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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.