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Finding the Fourth Proportional to 399,201.96, 598,627.92 and 149,709

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Solution

The fourth proportional to 399,201.96, 598,627.92 and 149,709 is: 224,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,201.96 : 598,627.92 = 149,709 : x
  2. Step 2: Convert to fraction form
    399,201.96/598,627.92 = 149,709/x
  3. Step 3: Cross multiply
    399,201.96x = 598,627.92 × 149,709
  4. Step 4: Simplify right side
    399,201.96x = 89,619,987,275.28
  5. Step 5: Solve for x
    x = 89,619,987,275.28/399,201.96
  6. Step 6: Final answer
    x = 224,497.86

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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.