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Finding the Fourth Proportional to 298,098.16, 447,052.32 and 98,381.20

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Solution

The fourth proportional to 298,098.16, 447,052.32 and 98,381.20 is: 147,540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,098.16 : 447,052.32 = 98,381.20 : x
  2. Step 2: Convert to fraction form
    298,098.16/447,052.32 = 98,381.20/x
  3. Step 3: Cross multiply
    298,098.16x = 447,052.32 × 98,381.20
  4. Step 4: Simplify right side
    298,098.16x = 43,981,543,704.38
  5. Step 5: Solve for x
    x = 43,981,543,704.38/298,098.16
  6. Step 6: Final answer
    x = 147,540.47

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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.