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Finding the Fourth Proportional to 765,680, 1,148,529.72 and 267,044

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Solution

The fourth proportional to 765,680, 1,148,529.72 and 267,044 is: 400,569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,680 : 1,148,529.72 = 267,044 : x
  2. Step 2: Convert to fraction form
    765,680/1,148,529.72 = 267,044/x
  3. Step 3: Cross multiply
    765,680x = 1,148,529.72 × 267,044
  4. Step 4: Simplify right side
    765,680x = 306,707,970,547.68
  5. Step 5: Solve for x
    x = 306,707,970,547.68/765,680
  6. Step 6: Final answer
    x = 400,569.39

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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.