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Finding the Fourth Proportional to 398,135.20, 597,433.20 and 148,842.40

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Solution

The fourth proportional to 398,135.20, 597,433.20 and 148,842.40 is: 223,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,135.20 : 597,433.20 = 148,842.40 : x
  2. Step 2: Convert to fraction form
    398,135.20/597,433.20 = 148,842.40/x
  3. Step 3: Cross multiply
    398,135.20x = 597,433.20 × 148,842.40
  4. Step 4: Simplify right side
    398,135.20x = 88,923,391,327.68
  5. Step 5: Solve for x
    x = 88,923,391,327.68/398,135.20
  6. Step 6: Final answer
    x = 223,349.73

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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.