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Finding the Fourth Proportional to 278,645.76, 418,029.12 and 91,650.24

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Solution

The fourth proportional to 278,645.76, 418,029.12 and 91,650.24 is: 137,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,645.76 : 418,029.12 = 91,650.24 : x
  2. Step 2: Convert to fraction form
    278,645.76/418,029.12 = 91,650.24/x
  3. Step 3: Cross multiply
    278,645.76x = 418,029.12 × 91,650.24
  4. Step 4: Simplify right side
    278,645.76x = 38,312,469,174.99
  5. Step 5: Solve for x
    x = 38,312,469,174.99/278,645.76
  6. Step 6: Final answer
    x = 137,495.25

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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.