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Finding the Fourth Proportional to 398,213.20, 597,319.80 and 148,862.80

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Solution

The fourth proportional to 398,213.20, 597,319.80 and 148,862.80 is: 223,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,213.20 : 597,319.80 = 148,862.80 : x
  2. Step 2: Convert to fraction form
    398,213.20/597,319.80 = 148,862.80/x
  3. Step 3: Cross multiply
    398,213.20x = 597,319.80 × 148,862.80
  4. Step 4: Simplify right side
    398,213.20x = 88,918,697,923.44
  5. Step 5: Solve for x
    x = 88,918,697,923.44/398,213.20
  6. Step 6: Final answer
    x = 223,294.20

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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.