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Finding the Fourth Proportional to 276,967.92, 415,521.78 and 77,288.14

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Solution

The fourth proportional to 276,967.92, 415,521.78 and 77,288.14 is: 115,951.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,967.92 : 415,521.78 = 77,288.14 : x
  2. Step 2: Convert to fraction form
    276,967.92/415,521.78 = 77,288.14/x
  3. Step 3: Cross multiply
    276,967.92x = 415,521.78 × 77,288.14
  4. Step 4: Simplify right side
    276,967.92x = 32,114,905,505.69
  5. Step 5: Solve for x
    x = 32,114,905,505.69/276,967.92
  6. Step 6: Final answer
    x = 115,951.72

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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.