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Finding the Fourth Proportional to 278,701.04, 418,194.54 and 136,543.64

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Solution

The fourth proportional to 278,701.04, 418,194.54 and 136,543.64 is: 204,885.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,701.04 : 418,194.54 = 136,543.64 : x
  2. Step 2: Convert to fraction form
    278,701.04/418,194.54 = 136,543.64/x
  3. Step 3: Cross multiply
    278,701.04x = 418,194.54 × 136,543.64
  4. Step 4: Simplify right side
    278,701.04x = 57,101,804,719.73
  5. Step 5: Solve for x
    x = 57,101,804,719.73/278,701.04
  6. Step 6: Final answer
    x = 204,885.51

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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.