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Finding the Fourth Proportional to 276,004.20, 413,967.90 and 89,034.60

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Solution

The fourth proportional to 276,004.20, 413,967.90 and 89,034.60 is: 133,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,004.20 : 413,967.90 = 89,034.60 : x
  2. Step 2: Convert to fraction form
    276,004.20/413,967.90 = 89,034.60/x
  3. Step 3: Cross multiply
    276,004.20x = 413,967.90 × 89,034.60
  4. Step 4: Simplify right side
    276,004.20x = 36,857,466,389.34
  5. Step 5: Solve for x
    x = 36,857,466,389.34/276,004.20
  6. Step 6: Final answer
    x = 133,539.51

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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.