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Finding the Fourth Proportional to 499,294.98, 688,950 and 284,407.74

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Solution

The fourth proportional to 499,294.98, 688,950 and 284,407.74 is: 392,438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,294.98 : 688,950 = 284,407.74 : x
  2. Step 2: Convert to fraction form
    499,294.98/688,950 = 284,407.74/x
  3. Step 3: Cross multiply
    499,294.98x = 688,950 × 284,407.74
  4. Step 4: Simplify right side
    499,294.98x = 195,942,712,473
  5. Step 5: Solve for x
    x = 195,942,712,473/499,294.98
  6. Step 6: Final answer
    x = 392,438.78

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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.