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Finding the Fourth Proportional to 278,964.48, 418,310.64 and 98,988.96

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Solution

The fourth proportional to 278,964.48, 418,310.64 and 98,988.96 is: 148,435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,964.48 : 418,310.64 = 98,988.96 : x
  2. Step 2: Convert to fraction form
    278,964.48/418,310.64 = 98,988.96/x
  3. Step 3: Cross multiply
    278,964.48x = 418,310.64 × 98,988.96
  4. Step 4: Simplify right side
    278,964.48x = 41,408,135,210.53
  5. Step 5: Solve for x
    x = 41,408,135,210.53/278,964.48
  6. Step 6: Final answer
    x = 148,435.15

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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.