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Finding the Fourth Proportional to 543,200.10, 814,476.15 and 332,988.90

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Solution

The fourth proportional to 543,200.10, 814,476.15 and 332,988.90 is: 499,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,200.10 : 814,476.15 = 332,988.90 : x
  2. Step 2: Convert to fraction form
    543,200.10/814,476.15 = 332,988.90/x
  3. Step 3: Cross multiply
    543,200.10x = 814,476.15 × 332,988.90
  4. Step 4: Simplify right side
    543,200.10x = 271,211,517,264.74
  5. Step 5: Solve for x
    x = 271,211,517,264.74/543,200.10
  6. Step 6: Final answer
    x = 499,284.73

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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.