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Finding the Fourth Proportional to 278,705.97, 418,169.66 and 89,195.40

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Solution

The fourth proportional to 278,705.97, 418,169.66 and 89,195.40 is: 133,828.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,705.97 : 418,169.66 = 89,195.40 : x
  2. Step 2: Convert to fraction form
    278,705.97/418,169.66 = 89,195.40/x
  3. Step 3: Cross multiply
    278,705.97x = 418,169.66 × 89,195.40
  4. Step 4: Simplify right side
    278,705.97x = 37,298,809,645.59
  5. Step 5: Solve for x
    x = 37,298,809,645.59/278,705.97
  6. Step 6: Final answer
    x = 133,828.53

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1.5x scale

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.