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Finding the Fourth Proportional to 343,132.71, 514,763.78 and 129,964.43

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Solution

The fourth proportional to 343,132.71, 514,763.78 and 129,964.43 is: 194,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,132.71 : 514,763.78 = 129,964.43 : x
  2. Step 2: Convert to fraction form
    343,132.71/514,763.78 = 129,964.43/x
  3. Step 3: Cross multiply
    343,132.71x = 514,763.78 × 129,964.43
  4. Step 4: Simplify right side
    343,132.71x = 66,900,981,889.43
  5. Step 5: Solve for x
    x = 66,900,981,889.43/343,132.71
  6. Step 6: Final answer
    x = 194,971.16

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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.