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Finding the Fourth Proportional to 498,405.45, 747,618.77 and 178,578.15

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Solution

The fourth proportional to 498,405.45, 747,618.77 and 178,578.15 is: 267,871.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,405.45 : 747,618.77 = 178,578.15 : x
  2. Step 2: Convert to fraction form
    498,405.45/747,618.77 = 178,578.15/x
  3. Step 3: Cross multiply
    498,405.45x = 747,618.77 × 178,578.15
  4. Step 4: Simplify right side
    498,405.45x = 133,508,375,958.99
  5. Step 5: Solve for x
    x = 133,508,375,958.99/498,405.45
  6. Step 6: Final answer
    x = 267,871.02

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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.