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Finding the Fourth Proportional to 443,197.20, 664,363.80 and 253,462.80

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Solution

The fourth proportional to 443,197.20, 664,363.80 and 253,462.80 is: 379,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,197.20 : 664,363.80 = 253,462.80 : x
  2. Step 2: Convert to fraction form
    443,197.20/664,363.80 = 253,462.80/x
  3. Step 3: Cross multiply
    443,197.20x = 664,363.80 × 253,462.80
  4. Step 4: Simplify right side
    443,197.20x = 168,391,508,966.64
  5. Step 5: Solve for x
    x = 168,391,508,966.64/443,197.20
  6. Step 6: Final answer
    x = 379,947.14

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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.