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Finding the Fourth Proportional to 276,731.44, 415,130.41 and 261,597.83

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Solution

The fourth proportional to 276,731.44, 415,130.41 and 261,597.83 is: 392,428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,731.44 : 415,130.41 = 261,597.83 : x
  2. Step 2: Convert to fraction form
    276,731.44/415,130.41 = 261,597.83/x
  3. Step 3: Cross multiply
    276,731.44x = 415,130.41 × 261,597.83
  4. Step 4: Simplify right side
    276,731.44x = 108,597,213,106.17
  5. Step 5: Solve for x
    x = 108,597,213,106.17/276,731.44
  6. Step 6: Final answer
    x = 392,428.18

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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.