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Finding the Fourth Proportional to 765,678, 1,148,526.72 and 267,042

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Solution

The fourth proportional to 765,678, 1,148,526.72 and 267,042 is: 400,566.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,678 : 1,148,526.72 = 267,042 : x
  2. Step 2: Convert to fraction form
    765,678/1,148,526.72 = 267,042/x
  3. Step 3: Cross multiply
    765,678x = 1,148,526.72 × 267,042
  4. Step 4: Simplify right side
    765,678x = 306,704,872,362.24
  5. Step 5: Solve for x
    x = 306,704,872,362.24/765,678
  6. Step 6: Final answer
    x = 400,566.39

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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.