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Finding the Fourth Proportional to 861,868, 1,292,802 and 270,892

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Solution

The fourth proportional to 861,868, 1,292,802 and 270,892 is: 406,338

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,868 : 1,292,802 = 270,892 : x
  2. Step 2: Convert to fraction form
    861,868/1,292,802 = 270,892/x
  3. Step 3: Cross multiply
    861,868x = 1,292,802 × 270,892
  4. Step 4: Simplify right side
    861,868x = 350,209,719,384
  5. Step 5: Solve for x
    x = 350,209,719,384/861,868
  6. Step 6: Final answer
    x = 406,338

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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.