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Finding the Fourth Proportional to 218,947.80, 328,421.70 and 186,288.60

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Solution

The fourth proportional to 218,947.80, 328,421.70 and 186,288.60 is: 279,432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,947.80 : 328,421.70 = 186,288.60 : x
  2. Step 2: Convert to fraction form
    218,947.80/328,421.70 = 186,288.60/x
  3. Step 3: Cross multiply
    218,947.80x = 328,421.70 × 186,288.60
  4. Step 4: Simplify right side
    218,947.80x = 61,181,218,702.62
  5. Step 5: Solve for x
    x = 61,181,218,702.62/218,947.80
  6. Step 6: Final answer
    x = 279,432.90

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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.