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Finding the Fourth Proportional to 292,502.40, 438,753.60 and 82,147.20

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Solution

The fourth proportional to 292,502.40, 438,753.60 and 82,147.20 is: 123,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,502.40 : 438,753.60 = 82,147.20 : x
  2. Step 2: Convert to fraction form
    292,502.40/438,753.60 = 82,147.20/x
  3. Step 3: Cross multiply
    292,502.40x = 438,753.60 × 82,147.20
  4. Step 4: Simplify right side
    292,502.40x = 36,042,379,729.92
  5. Step 5: Solve for x
    x = 36,042,379,729.92/292,502.40
  6. Step 6: Final answer
    x = 123,220.80

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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.