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Finding the Fourth Proportional to 390,122.86, 585,257.28 and 123,950.38

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Solution

The fourth proportional to 390,122.86, 585,257.28 and 123,950.38 is: 185,948.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,122.86 : 585,257.28 = 123,950.38 : x
  2. Step 2: Convert to fraction form
    390,122.86/585,257.28 = 123,950.38/x
  3. Step 3: Cross multiply
    390,122.86x = 585,257.28 × 123,950.38
  4. Step 4: Simplify right side
    390,122.86x = 72,542,862,253.77
  5. Step 5: Solve for x
    x = 72,542,862,253.77/390,122.86
  6. Step 6: Final answer
    x = 185,948.76

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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.