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Finding the Fourth Proportional to 343,257.20, 514,732.20 and 132,825.20

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Solution

The fourth proportional to 343,257.20, 514,732.20 and 132,825.20 is: 199,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,257.20 : 514,732.20 = 132,825.20 : x
  2. Step 2: Convert to fraction form
    343,257.20/514,732.20 = 132,825.20/x
  3. Step 3: Cross multiply
    343,257.20x = 514,732.20 × 132,825.20
  4. Step 4: Simplify right side
    343,257.20x = 68,369,407,411.44
  5. Step 5: Solve for x
    x = 68,369,407,411.44/343,257.20
  6. Step 6: Final answer
    x = 199,178.36

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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.