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Finding the Fourth Proportional to 390,238.90, 585,233.78 and 123,937.13

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Solution

The fourth proportional to 390,238.90, 585,233.78 and 123,937.13 is: 185,866.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,238.90 : 585,233.78 = 123,937.13 : x
  2. Step 2: Convert to fraction form
    390,238.90/585,233.78 = 123,937.13/x
  3. Step 3: Cross multiply
    390,238.90x = 585,233.78 × 123,937.13
  4. Step 4: Simplify right side
    390,238.90x = 72,532,195,072.25
  5. Step 5: Solve for x
    x = 72,532,195,072.25/390,238.90
  6. Step 6: Final answer
    x = 185,866.13

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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.