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Finding the Fourth Proportional to 390,800.16, 586,248.84 and 138,029.40

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Solution

The fourth proportional to 390,800.16, 586,248.84 and 138,029.40 is: 207,061.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,800.16 : 586,248.84 = 138,029.40 : x
  2. Step 2: Convert to fraction form
    390,800.16/586,248.84 = 138,029.40/x
  3. Step 3: Cross multiply
    390,800.16x = 586,248.84 × 138,029.40
  4. Step 4: Simplify right side
    390,800.16x = 80,919,575,635.90
  5. Step 5: Solve for x
    x = 80,919,575,635.90/390,800.16
  6. Step 6: Final answer
    x = 207,061.27

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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.