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Finding the Fourth Proportional to 280,382.50, 420,793.47 and 195,591.14

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Solution

The fourth proportional to 280,382.50, 420,793.47 and 195,591.14 is: 293,539.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,382.50 : 420,793.47 = 195,591.14 : x
  2. Step 2: Convert to fraction form
    280,382.50/420,793.47 = 195,591.14/x
  3. Step 3: Cross multiply
    280,382.50x = 420,793.47 × 195,591.14
  4. Step 4: Simplify right side
    280,382.50x = 82,303,473,975.86
  5. Step 5: Solve for x
    x = 82,303,473,975.86/280,382.50
  6. Step 6: Final answer
    x = 293,539.98

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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.