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Finding the Fourth Proportional to 498,242.10, 747,270.02 and 133,508

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Solution

The fourth proportional to 498,242.10, 747,270.02 and 133,508 is: 200,237.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,242.10 : 747,270.02 = 133,508 : x
  2. Step 2: Convert to fraction form
    498,242.10/747,270.02 = 133,508/x
  3. Step 3: Cross multiply
    498,242.10x = 747,270.02 × 133,508
  4. Step 4: Simplify right side
    498,242.10x = 99,766,525,830.16
  5. Step 5: Solve for x
    x = 99,766,525,830.16/498,242.10
  6. Step 6: Final answer
    x = 200,237.05

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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.