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Finding the Fourth Proportional to 278,843.10, 418,264.65 and 91,830.30

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Solution

The fourth proportional to 278,843.10, 418,264.65 and 91,830.30 is: 137,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,843.10 : 418,264.65 = 91,830.30 : x
  2. Step 2: Convert to fraction form
    278,843.10/418,264.65 = 91,830.30/x
  3. Step 3: Cross multiply
    278,843.10x = 418,264.65 × 91,830.30
  4. Step 4: Simplify right side
    278,843.10x = 38,409,368,288.90
  5. Step 5: Solve for x
    x = 38,409,368,288.90/278,843.10
  6. Step 6: Final answer
    x = 137,745.45

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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.