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Finding the Fourth Proportional to 402,753.86, 604,001.66 and 132,821.40

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Solution

The fourth proportional to 402,753.86, 604,001.66 and 132,821.40 is: 199,189.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,753.86 : 604,001.66 = 132,821.40 : x
  2. Step 2: Convert to fraction form
    402,753.86/604,001.66 = 132,821.40/x
  3. Step 3: Cross multiply
    402,753.86x = 604,001.66 × 132,821.40
  4. Step 4: Simplify right side
    402,753.86x = 80,224,346,083.52
  5. Step 5: Solve for x
    x = 80,224,346,083.52/402,753.86
  6. Step 6: Final answer
    x = 199,189.52

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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.