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Finding the Fourth Proportional to 513,753.68, 708,979.07 and 287,399.18

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Solution

The fourth proportional to 513,753.68, 708,979.07 and 287,399.18 is: 396,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,753.68 : 708,979.07 = 287,399.18 : x
  2. Step 2: Convert to fraction form
    513,753.68/708,979.07 = 287,399.18/x
  3. Step 3: Cross multiply
    513,753.68x = 708,979.07 × 287,399.18
  4. Step 4: Simplify right side
    513,753.68x = 203,760,000,528.77
  5. Step 5: Solve for x
    x = 203,760,000,528.77/513,753.68
  6. Step 6: Final answer
    x = 396,610.30

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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.