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Finding the Fourth Proportional to 343,711.46, 514,957.16 and 143,591.42

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Solution

The fourth proportional to 343,711.46, 514,957.16 and 143,591.42 is: 215,132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,711.46 : 514,957.16 = 143,591.42 : x
  2. Step 2: Convert to fraction form
    343,711.46/514,957.16 = 143,591.42/x
  3. Step 3: Cross multiply
    343,711.46x = 514,957.16 × 143,591.42
  4. Step 4: Simplify right side
    343,711.46x = 73,943,429,843.57
  5. Step 5: Solve for x
    x = 73,943,429,843.57/343,711.46
  6. Step 6: Final answer
    x = 215,132.28

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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.