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Finding the Fourth Proportional to 499,400.28, 689,003.58 and 284,387.88

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Solution

The fourth proportional to 499,400.28, 689,003.58 and 284,387.88 is: 392,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,400.28 : 689,003.58 = 284,387.88 : x
  2. Step 2: Convert to fraction form
    499,400.28/689,003.58 = 284,387.88/x
  3. Step 3: Cross multiply
    499,400.28x = 689,003.58 × 284,387.88
  4. Step 4: Simplify right side
    499,400.28x = 195,944,267,428.61
  5. Step 5: Solve for x
    x = 195,944,267,428.61/499,400.28
  6. Step 6: Final answer
    x = 392,359.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.