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Finding the Fourth Proportional to 498,883.55, 688,459.92 and 284,023.61

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Solution

The fourth proportional to 498,883.55, 688,459.92 and 284,023.61 is: 391,952.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,883.55 : 688,459.92 = 284,023.61 : x
  2. Step 2: Convert to fraction form
    498,883.55/688,459.92 = 284,023.61/x
  3. Step 3: Cross multiply
    498,883.55x = 688,459.92 × 284,023.61
  4. Step 4: Simplify right side
    498,883.55x = 195,538,867,311.32
  5. Step 5: Solve for x
    x = 195,538,867,311.32/498,883.55
  6. Step 6: Final answer
    x = 391,952.93

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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.