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Finding the Fourth Proportional to 766,316, 1,150,002.12 and 267,680

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Solution

The fourth proportional to 766,316, 1,150,002.12 and 267,680 is: 401,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,316 : 1,150,002.12 = 267,680 : x
  2. Step 2: Convert to fraction form
    766,316/1,150,002.12 = 267,680/x
  3. Step 3: Cross multiply
    766,316x = 1,150,002.12 × 267,680
  4. Step 4: Simplify right side
    766,316x = 307,832,567,481.60
  5. Step 5: Solve for x
    x = 307,832,567,481.60/766,316
  6. Step 6: Final answer
    x = 401,704.48

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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.