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Finding the Fourth Proportional to 278,974.60, 418,478.10 and 79,309.60

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Solution

The fourth proportional to 278,974.60, 418,478.10 and 79,309.60 is: 118,969.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,974.60 : 418,478.10 = 79,309.60 : x
  2. Step 2: Convert to fraction form
    278,974.60/418,478.10 = 79,309.60/x
  3. Step 3: Cross multiply
    278,974.60x = 418,478.10 × 79,309.60
  4. Step 4: Simplify right side
    278,974.60x = 33,189,330,719.76
  5. Step 5: Solve for x
    x = 33,189,330,719.76/278,974.60
  6. Step 6: Final answer
    x = 118,969.01

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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.