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Finding the Fourth Proportional to 498,998.93, 688,625.10 and 284,139.85

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Solution

The fourth proportional to 498,998.93, 688,625.10 and 284,139.85 is: 392,116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,998.93 : 688,625.10 = 284,139.85 : x
  2. Step 2: Convert to fraction form
    498,998.93/688,625.10 = 284,139.85/x
  3. Step 3: Cross multiply
    498,998.93x = 688,625.10 × 284,139.85
  4. Step 4: Simplify right side
    498,998.93x = 195,665,833,481.02
  5. Step 5: Solve for x
    x = 195,665,833,481.02/498,998.93
  6. Step 6: Final answer
    x = 392,116.74

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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.