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Finding the Fourth Proportional to 390,594.43, 585,789.12 and 165,839.17

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Solution

The fourth proportional to 390,594.43, 585,789.12 and 165,839.17 is: 248,715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,594.43 : 585,789.12 = 165,839.17 : x
  2. Step 2: Convert to fraction form
    390,594.43/585,789.12 = 165,839.17/x
  3. Step 3: Cross multiply
    390,594.43x = 585,789.12 × 165,839.17
  4. Step 4: Simplify right side
    390,594.43x = 97,146,781,455.83
  5. Step 5: Solve for x
    x = 97,146,781,455.83/390,594.43
  6. Step 6: Final answer
    x = 248,715.22

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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.