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Finding the Fourth Proportional to 498,937.67, 688,534.66 and 284,077.83

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Solution

The fourth proportional to 498,937.67, 688,534.66 and 284,077.83 is: 392,027.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,937.67 : 688,534.66 = 284,077.83 : x
  2. Step 2: Convert to fraction form
    498,937.67/688,534.66 = 284,077.83/x
  3. Step 3: Cross multiply
    498,937.67x = 688,534.66 × 284,077.83
  4. Step 4: Simplify right side
    498,937.67x = 195,597,432,092.59
  5. Step 5: Solve for x
    x = 195,597,432,092.59/498,937.67
  6. Step 6: Final answer
    x = 392,027.79

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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.