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Finding the Fourth Proportional to 390,129.78, 585,214.92 and 123,911.13

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Solution

The fourth proportional to 390,129.78, 585,214.92 and 123,911.13 is: 185,873.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,129.78 : 585,214.92 = 123,911.13 : x
  2. Step 2: Convert to fraction form
    390,129.78/585,214.92 = 123,911.13/x
  3. Step 3: Cross multiply
    390,129.78x = 585,214.92 × 123,911.13
  4. Step 4: Simplify right side
    390,129.78x = 72,514,641,410.50
  5. Step 5: Solve for x
    x = 72,514,641,410.50/390,129.78
  6. Step 6: Final answer
    x = 185,873.13

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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.