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Finding the Fourth Proportional to 278,768.66, 418,217.47 and 98,844.55

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Solution

The fourth proportional to 278,768.66, 418,217.47 and 98,844.55 is: 148,289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,768.66 : 418,217.47 = 98,844.55 : x
  2. Step 2: Convert to fraction form
    278,768.66/418,217.47 = 98,844.55/x
  3. Step 3: Cross multiply
    278,768.66x = 418,217.47 × 98,844.55
  4. Step 4: Simplify right side
    278,768.66x = 41,338,516,331.63
  5. Step 5: Solve for x
    x = 41,338,516,331.63/278,768.66
  6. Step 6: Final answer
    x = 148,289.69

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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.