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Finding the Fourth Proportional to 765,892.80, 1,148,842.08 and 267,256.80

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Solution

The fourth proportional to 765,892.80, 1,148,842.08 and 267,256.80 is: 400,886.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,892.80 : 1,148,842.08 = 267,256.80 : x
  2. Step 2: Convert to fraction form
    765,892.80/1,148,842.08 = 267,256.80/x
  3. Step 3: Cross multiply
    765,892.80x = 1,148,842.08 × 267,256.80
  4. Step 4: Simplify right side
    765,892.80x = 307,035,858,006.14
  5. Step 5: Solve for x
    x = 307,035,858,006.14/765,892.80
  6. Step 6: Final answer
    x = 400,886.20

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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.