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Finding the Fourth Proportional to 390,815.92, 586,118.41 and 138,063.13

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Solution

The fourth proportional to 390,815.92, 586,118.41 and 138,063.13 is: 207,057.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,815.92 : 586,118.41 = 138,063.13 : x
  2. Step 2: Convert to fraction form
    390,815.92/586,118.41 = 138,063.13/x
  3. Step 3: Cross multiply
    390,815.92x = 586,118.41 × 138,063.13
  4. Step 4: Simplify right side
    390,815.92x = 80,921,344,498.29
  5. Step 5: Solve for x
    x = 80,921,344,498.29/390,815.92
  6. Step 6: Final answer
    x = 207,057.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.