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Finding the Fourth Proportional to 390,472.14, 585,603.12 and 137,719.83

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Solution

The fourth proportional to 390,472.14, 585,603.12 and 137,719.83 is: 206,542.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,472.14 : 585,603.12 = 137,719.83 : x
  2. Step 2: Convert to fraction form
    390,472.14/585,603.12 = 137,719.83/x
  3. Step 3: Cross multiply
    390,472.14x = 585,603.12 × 137,719.83
  4. Step 4: Simplify right side
    390,472.14x = 80,649,162,133.87
  5. Step 5: Solve for x
    x = 80,649,162,133.87/390,472.14
  6. Step 6: Final answer
    x = 206,542.68

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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.