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Finding the Fourth Proportional to 498,738.38, 688,263.38 and 283,892.28

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Solution

The fourth proportional to 498,738.38, 688,263.38 and 283,892.28 is: 391,773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,738.38 : 688,263.38 = 283,892.28 : x
  2. Step 2: Convert to fraction form
    498,738.38/688,263.38 = 283,892.28/x
  3. Step 3: Cross multiply
    498,738.38x = 688,263.38 × 283,892.28
  4. Step 4: Simplify right side
    498,738.38x = 195,392,660,188.71
  5. Step 5: Solve for x
    x = 195,392,660,188.71/498,738.38
  6. Step 6: Final answer
    x = 391,773.86

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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.