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Finding the Fourth Proportional to 398,635.20, 597,823.20 and 132,350.40

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Solution

The fourth proportional to 398,635.20, 597,823.20 and 132,350.40 is: 198,482.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,635.20 : 597,823.20 = 132,350.40 : x
  2. Step 2: Convert to fraction form
    398,635.20/597,823.20 = 132,350.40/x
  3. Step 3: Cross multiply
    398,635.20x = 597,823.20 × 132,350.40
  4. Step 4: Simplify right side
    398,635.20x = 79,122,139,649.28
  5. Step 5: Solve for x
    x = 79,122,139,649.28/398,635.20
  6. Step 6: Final answer
    x = 198,482.57

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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.