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Finding the Fourth Proportional to 276,433.78, 414,487.05 and 107,757.20

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Solution

The fourth proportional to 276,433.78, 414,487.05 and 107,757.20 is: 161,572.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,433.78 : 414,487.05 = 107,757.20 : x
  2. Step 2: Convert to fraction form
    276,433.78/414,487.05 = 107,757.20/x
  3. Step 3: Cross multiply
    276,433.78x = 414,487.05 × 107,757.20
  4. Step 4: Simplify right side
    276,433.78x = 44,663,963,944.26
  5. Step 5: Solve for x
    x = 44,663,963,944.26/276,433.78
  6. Step 6: Final answer
    x = 161,572.02

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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.