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Finding the Fourth Proportional to 274,856.40, 412,138.80 and 97,369.20

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Solution

The fourth proportional to 274,856.40, 412,138.80 and 97,369.20 is: 146,002.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,856.40 : 412,138.80 = 97,369.20 : x
  2. Step 2: Convert to fraction form
    274,856.40/412,138.80 = 97,369.20/x
  3. Step 3: Cross multiply
    274,856.40x = 412,138.80 × 97,369.20
  4. Step 4: Simplify right side
    274,856.40x = 40,129,625,244.96
  5. Step 5: Solve for x
    x = 40,129,625,244.96/274,856.40
  6. Step 6: Final answer
    x = 146,002.15

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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.