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Finding the Fourth Proportional to 267,772.28, 401,659.80 and 90,280.83

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Solution

The fourth proportional to 267,772.28, 401,659.80 and 90,280.83 is: 135,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,772.28 : 401,659.80 = 90,280.83 : x
  2. Step 2: Convert to fraction form
    267,772.28/401,659.80 = 90,280.83/x
  3. Step 3: Cross multiply
    267,772.28x = 401,659.80 × 90,280.83
  4. Step 4: Simplify right side
    267,772.28x = 36,262,180,121.63
  5. Step 5: Solve for x
    x = 36,262,180,121.63/267,772.28
  6. Step 6: Final answer
    x = 135,421.71

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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.