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Finding the Fourth Proportional to 765,666, 1,149,024.96 and 267,030

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Solution

The fourth proportional to 765,666, 1,149,024.96 and 267,030 is: 400,728.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,666 : 1,149,024.96 = 267,030 : x
  2. Step 2: Convert to fraction form
    765,666/1,149,024.96 = 267,030/x
  3. Step 3: Cross multiply
    765,666x = 1,149,024.96 × 267,030
  4. Step 4: Simplify right side
    765,666x = 306,824,135,068.80
  5. Step 5: Solve for x
    x = 306,824,135,068.80/765,666
  6. Step 6: Final answer
    x = 400,728.43

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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.