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Finding the Fourth Proportional to 391,197.98, 539,866.05 and 221,428.46

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Solution

The fourth proportional to 391,197.98, 539,866.05 and 221,428.46 is: 305,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,197.98 : 539,866.05 = 221,428.46 : x
  2. Step 2: Convert to fraction form
    391,197.98/539,866.05 = 221,428.46/x
  3. Step 3: Cross multiply
    391,197.98x = 539,866.05 × 221,428.46
  4. Step 4: Simplify right side
    391,197.98x = 119,541,708,057.78
  5. Step 5: Solve for x
    x = 119,541,708,057.78/391,197.98
  6. Step 6: Final answer
    x = 305,578.54

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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.