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Finding the Fourth Proportional to 398,902.20, 598,223.70 and 132,617.40

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Solution

The fourth proportional to 398,902.20, 598,223.70 and 132,617.40 is: 198,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,902.20 : 598,223.70 = 132,617.40 : x
  2. Step 2: Convert to fraction form
    398,902.20/598,223.70 = 132,617.40/x
  3. Step 3: Cross multiply
    398,902.20x = 598,223.70 × 132,617.40
  4. Step 4: Simplify right side
    398,902.20x = 79,334,871,712.38
  5. Step 5: Solve for x
    x = 79,334,871,712.38/398,902.20
  6. Step 6: Final answer
    x = 198,883.01

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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.