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Finding the Fourth Proportional to 276,758.83, 415,138.65 and 77,079.79

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Solution

The fourth proportional to 276,758.83, 415,138.65 and 77,079.79 is: 115,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,758.83 : 415,138.65 = 77,079.79 : x
  2. Step 2: Convert to fraction form
    276,758.83/415,138.65 = 77,079.79/x
  3. Step 3: Cross multiply
    276,758.83x = 415,138.65 × 77,079.79
  4. Step 4: Simplify right side
    276,758.83x = 31,998,799,962.88
  5. Step 5: Solve for x
    x = 31,998,799,962.88/276,758.83
  6. Step 6: Final answer
    x = 115,619.80

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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.