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Finding the Fourth Proportional to 574,988, 861,341.12 and 270,965.84

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Solution

The fourth proportional to 574,988, 861,341.12 and 270,965.84 is: 405,911.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,988 : 861,341.12 = 270,965.84 : x
  2. Step 2: Convert to fraction form
    574,988/861,341.12 = 270,965.84/x
  3. Step 3: Cross multiply
    574,988x = 861,341.12 × 270,965.84
  4. Step 4: Simplify right side
    574,988x = 233,394,020,107.34
  5. Step 5: Solve for x
    x = 233,394,020,107.34/574,988
  6. Step 6: Final answer
    x = 405,911.11

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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.