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Finding the Fourth Proportional to 276,726.80, 415,463.52 and 177,081.68

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Solution

The fourth proportional to 276,726.80, 415,463.52 and 177,081.68 is: 265,861.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,726.80 : 415,463.52 = 177,081.68 : x
  2. Step 2: Convert to fraction form
    276,726.80/415,463.52 = 177,081.68/x
  3. Step 3: Cross multiply
    276,726.80x = 415,463.52 × 177,081.68
  4. Step 4: Simplify right side
    276,726.80x = 73,570,978,100.31
  5. Step 5: Solve for x
    x = 73,570,978,100.31/276,726.80
  6. Step 6: Final answer
    x = 265,861.41

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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.