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Finding the Fourth Proportional to 398,996.36, 598,592.10 and 132,756.20

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Solution

The fourth proportional to 398,996.36, 598,592.10 and 132,756.20 is: 199,166.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,996.36 : 598,592.10 = 132,756.20 : x
  2. Step 2: Convert to fraction form
    398,996.36/598,592.10 = 132,756.20/x
  3. Step 3: Cross multiply
    398,996.36x = 598,592.10 × 132,756.20
  4. Step 4: Simplify right side
    398,996.36x = 79,466,812,546.02
  5. Step 5: Solve for x
    x = 79,466,812,546.02/398,996.36
  6. Step 6: Final answer
    x = 199,166.76

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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.