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Finding the Fourth Proportional to 274,817.56, 412,265.46 and 85,294.30

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Solution

The fourth proportional to 274,817.56, 412,265.46 and 85,294.30 is: 127,953.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,817.56 : 412,265.46 = 85,294.30 : x
  2. Step 2: Convert to fraction form
    274,817.56/412,265.46 = 85,294.30/x
  3. Step 3: Cross multiply
    274,817.56x = 412,265.46 × 85,294.30
  4. Step 4: Simplify right side
    274,817.56x = 35,163,891,337.08
  5. Step 5: Solve for x
    x = 35,163,891,337.08/274,817.56
  6. Step 6: Final answer
    x = 127,953.58

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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.