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Finding the Fourth Proportional to 391,122.98, 539,705.05 and 219,017.02

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Solution

The fourth proportional to 391,122.98, 539,705.05 and 219,017.02 is: 302,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,122.98 : 539,705.05 = 219,017.02 : x
  2. Step 2: Convert to fraction form
    391,122.98/539,705.05 = 219,017.02/x
  3. Step 3: Cross multiply
    391,122.98x = 539,705.05 × 219,017.02
  4. Step 4: Simplify right side
    391,122.98x = 118,204,591,729.95
  5. Step 5: Solve for x
    x = 118,204,591,729.95/391,122.98
  6. Step 6: Final answer
    x = 302,218.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.