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Finding the Fourth Proportional to 276,955.28, 415,502.91 and 77,275.55

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Solution

The fourth proportional to 276,955.28, 415,502.91 and 77,275.55 is: 115,932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,955.28 : 415,502.91 = 77,275.55 : x
  2. Step 2: Convert to fraction form
    276,955.28/415,502.91 = 77,275.55/x
  3. Step 3: Cross multiply
    276,955.28x = 415,502.91 × 77,275.55
  4. Step 4: Simplify right side
    276,955.28x = 32,108,214,381.07
  5. Step 5: Solve for x
    x = 32,108,214,381.07/276,955.28
  6. Step 6: Final answer
    x = 115,932.85

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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.