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Finding the Fourth Proportional to 498,412.90, 747,728.70 and 161,396.20

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Solution

The fourth proportional to 498,412.90, 747,728.70 and 161,396.20 is: 242,129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,412.90 : 747,728.70 = 161,396.20 : x
  2. Step 2: Convert to fraction form
    498,412.90/747,728.70 = 161,396.20/x
  3. Step 3: Cross multiply
    498,412.90x = 747,728.70 × 161,396.20
  4. Step 4: Simplify right side
    498,412.90x = 120,680,570,810.94
  5. Step 5: Solve for x
    x = 120,680,570,810.94/498,412.90
  6. Step 6: Final answer
    x = 242,129.71

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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.