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Finding the Fourth Proportional to 543,158.20, 814,931.70 and 227,711.80

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Solution

The fourth proportional to 543,158.20, 814,931.70 and 227,711.80 is: 341,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,158.20 : 814,931.70 = 227,711.80 : x
  2. Step 2: Convert to fraction form
    543,158.20/814,931.70 = 227,711.80/x
  3. Step 3: Cross multiply
    543,158.20x = 814,931.70 × 227,711.80
  4. Step 4: Simplify right side
    543,158.20x = 185,569,564,284.06
  5. Step 5: Solve for x
    x = 185,569,564,284.06/543,158.20
  6. Step 6: Final answer
    x = 341,649.20

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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.