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Finding the Fourth Proportional to 765,774, 1,148,670.72 and 267,138

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Solution

The fourth proportional to 765,774, 1,148,670.72 and 267,138 is: 400,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,774 : 1,148,670.72 = 267,138 : x
  2. Step 2: Convert to fraction form
    765,774/1,148,670.72 = 267,138/x
  3. Step 3: Cross multiply
    765,774x = 1,148,670.72 × 267,138
  4. Step 4: Simplify right side
    765,774x = 306,853,598,799.36
  5. Step 5: Solve for x
    x = 306,853,598,799.36/765,774
  6. Step 6: Final answer
    x = 400,710.39

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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.