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Finding the Fourth Proportional to 390,129.28, 585,214.17 and 123,910.63

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Solution

The fourth proportional to 390,129.28, 585,214.17 and 123,910.63 is: 185,872.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,129.28 : 585,214.17 = 123,910.63 : x
  2. Step 2: Convert to fraction form
    390,129.28/585,214.17 = 123,910.63/x
  3. Step 3: Cross multiply
    390,129.28x = 585,214.17 × 123,910.63
  4. Step 4: Simplify right side
    390,129.28x = 72,514,254,561.93
  5. Step 5: Solve for x
    x = 72,514,254,561.93/390,129.28
  6. Step 6: Final answer
    x = 185,872.37

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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.