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Finding the Fourth Proportional to 278,986.50, 418,479.95 and 91,998

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Solution

The fourth proportional to 278,986.50, 418,479.95 and 91,998 is: 137,997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,986.50 : 418,479.95 = 91,998 : x
  2. Step 2: Convert to fraction form
    278,986.50/418,479.95 = 91,998/x
  3. Step 3: Cross multiply
    278,986.50x = 418,479.95 × 91,998
  4. Step 4: Simplify right side
    278,986.50x = 38,499,318,670.10
  5. Step 5: Solve for x
    x = 38,499,318,670.10/278,986.50
  6. Step 6: Final answer
    x = 137,997.07

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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.