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Finding the Fourth Proportional to 276,711.60, 415,067.40 and 156,645.30

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Solution

The fourth proportional to 276,711.60, 415,067.40 and 156,645.30 is: 234,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,711.60 : 415,067.40 = 156,645.30 : x
  2. Step 2: Convert to fraction form
    276,711.60/415,067.40 = 156,645.30/x
  3. Step 3: Cross multiply
    276,711.60x = 415,067.40 × 156,645.30
  4. Step 4: Simplify right side
    276,711.60x = 65,018,357,393.22
  5. Step 5: Solve for x
    x = 65,018,357,393.22/276,711.60
  6. Step 6: Final answer
    x = 234,967.95

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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.