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Finding the Fourth Proportional to 398,721.60, 598,082.40 and 363,729.60

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Solution

The fourth proportional to 398,721.60, 598,082.40 and 363,729.60 is: 545,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,721.60 : 598,082.40 = 363,729.60 : x
  2. Step 2: Convert to fraction form
    398,721.60/598,082.40 = 363,729.60/x
  3. Step 3: Cross multiply
    398,721.60x = 598,082.40 × 363,729.60
  4. Step 4: Simplify right side
    398,721.60x = 217,540,272,119.04
  5. Step 5: Solve for x
    x = 217,540,272,119.04/398,721.60
  6. Step 6: Final answer
    x = 545,594.40

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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.