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Finding the Fourth Proportional to 274,915.70, 412,446.45 and 97,404.20

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Solution

The fourth proportional to 274,915.70, 412,446.45 and 97,404.20 is: 146,132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,915.70 : 412,446.45 = 97,404.20 : x
  2. Step 2: Convert to fraction form
    274,915.70/412,446.45 = 97,404.20/x
  3. Step 3: Cross multiply
    274,915.70x = 412,446.45 × 97,404.20
  4. Step 4: Simplify right side
    274,915.70x = 40,174,016,505.09
  5. Step 5: Solve for x
    x = 40,174,016,505.09/274,915.70
  6. Step 6: Final answer
    x = 146,132.13

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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.