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Finding the Fourth Proportional to 502,645.30, 754,101.60 and 218,213.80

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Solution

The fourth proportional to 502,645.30, 754,101.60 and 218,213.80 is: 327,378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,645.30 : 754,101.60 = 218,213.80 : x
  2. Step 2: Convert to fraction form
    502,645.30/754,101.60 = 218,213.80/x
  3. Step 3: Cross multiply
    502,645.30x = 754,101.60 × 218,213.80
  4. Step 4: Simplify right side
    502,645.30x = 164,555,375,722.08
  5. Step 5: Solve for x
    x = 164,555,375,722.08/502,645.30
  6. Step 6: Final answer
    x = 327,378.72

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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.