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Finding the Fourth Proportional to 278,878.68, 418,313.16 and 91,891.80

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Solution

The fourth proportional to 278,878.68, 418,313.16 and 91,891.80 is: 137,836.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,878.68 : 418,313.16 = 91,891.80 : x
  2. Step 2: Convert to fraction form
    278,878.68/418,313.16 = 91,891.80/x
  3. Step 3: Cross multiply
    278,878.68x = 418,313.16 × 91,891.80
  4. Step 4: Simplify right side
    278,878.68x = 38,439,549,236.09
  5. Step 5: Solve for x
    x = 38,439,549,236.09/278,878.68
  6. Step 6: Final answer
    x = 137,836.10

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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.