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Finding the Fourth Proportional to 399,219.96, 598,654.98 and 149,727

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Solution

The fourth proportional to 399,219.96, 598,654.98 and 149,727 is: 224,524.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,219.96 : 598,654.98 = 149,727 : x
  2. Step 2: Convert to fraction form
    399,219.96/598,654.98 = 149,727/x
  3. Step 3: Cross multiply
    399,219.96x = 598,654.98 × 149,727
  4. Step 4: Simplify right side
    399,219.96x = 89,634,814,190.46
  5. Step 5: Solve for x
    x = 89,634,814,190.46/399,219.96
  6. Step 6: Final answer
    x = 224,524.88

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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.