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Finding the Fourth Proportional to 398,420.64, 597,462.48 and 132,109.92

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Solution

The fourth proportional to 398,420.64, 597,462.48 and 132,109.92 is: 198,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,420.64 : 597,462.48 = 132,109.92 : x
  2. Step 2: Convert to fraction form
    398,420.64/597,462.48 = 132,109.92/x
  3. Step 3: Cross multiply
    398,420.64x = 597,462.48 × 132,109.92
  4. Step 4: Simplify right side
    398,420.64x = 78,930,720,435.80
  5. Step 5: Solve for x
    x = 78,930,720,435.80/398,420.64
  6. Step 6: Final answer
    x = 198,109.01

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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.