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Finding the Fourth Proportional to 261,205.52, 391,808.34 and 208,947.15

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Solution

The fourth proportional to 261,205.52, 391,808.34 and 208,947.15 is: 313,420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,205.52 : 391,808.34 = 208,947.15 : x
  2. Step 2: Convert to fraction form
    261,205.52/391,808.34 = 208,947.15/x
  3. Step 3: Cross multiply
    261,205.52x = 391,808.34 × 208,947.15
  4. Step 4: Simplify right side
    261,205.52x = 81,867,235,989.23
  5. Step 5: Solve for x
    x = 81,867,235,989.23/261,205.52
  6. Step 6: Final answer
    x = 313,420.78

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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.