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Finding the Fourth Proportional to 498,115.72, 747,118.22 and 178,254.67

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Solution

The fourth proportional to 498,115.72, 747,118.22 and 178,254.67 is: 267,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,115.72 : 747,118.22 = 178,254.67 : x
  2. Step 2: Convert to fraction form
    498,115.72/747,118.22 = 178,254.67/x
  3. Step 3: Cross multiply
    498,115.72x = 747,118.22 × 178,254.67
  4. Step 4: Simplify right side
    498,115.72x = 133,177,311,757.09
  5. Step 5: Solve for x
    x = 133,177,311,757.09/498,115.72
  6. Step 6: Final answer
    x = 267,362.19

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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.