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Finding the Fourth Proportional to 276,527.92, 415,013.34 and 126,838.72

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Solution

The fourth proportional to 276,527.92, 415,013.34 and 126,838.72 is: 190,359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,527.92 : 415,013.34 = 126,838.72 : x
  2. Step 2: Convert to fraction form
    276,527.92/415,013.34 = 126,838.72/x
  3. Step 3: Cross multiply
    276,527.92x = 415,013.34 × 126,838.72
  4. Step 4: Simplify right side
    276,527.92x = 52,639,760,828.52
  5. Step 5: Solve for x
    x = 52,639,760,828.52/276,527.92
  6. Step 6: Final answer
    x = 190,359.66

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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.