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Finding the Fourth Proportional to 270,918.20, 406,377.30 and 83,948.60

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Solution

The fourth proportional to 270,918.20, 406,377.30 and 83,948.60 is: 125,922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,918.20 : 406,377.30 = 83,948.60 : x
  2. Step 2: Convert to fraction form
    270,918.20/406,377.30 = 83,948.60/x
  3. Step 3: Cross multiply
    270,918.20x = 406,377.30 × 83,948.60
  4. Step 4: Simplify right side
    270,918.20x = 34,114,805,406.78
  5. Step 5: Solve for x
    x = 34,114,805,406.78/270,918.20
  6. Step 6: Final answer
    x = 125,922.90

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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.