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Finding the Fourth Proportional to 443,359.20, 664,909.20 and 159,016.80

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Solution

The fourth proportional to 443,359.20, 664,909.20 and 159,016.80 is: 238,478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,359.20 : 664,909.20 = 159,016.80 : x
  2. Step 2: Convert to fraction form
    443,359.20/664,909.20 = 159,016.80/x
  3. Step 3: Cross multiply
    443,359.20x = 664,909.20 × 159,016.80
  4. Step 4: Simplify right side
    443,359.20x = 105,731,733,274.56
  5. Step 5: Solve for x
    x = 105,731,733,274.56/443,359.20
  6. Step 6: Final answer
    x = 238,478.72

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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.