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Finding the Fourth Proportional to 363,793.92, 545,687.04 and 142,176

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Solution

The fourth proportional to 363,793.92, 545,687.04 and 142,176 is: 213,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,793.92 : 545,687.04 = 142,176 : x
  2. Step 2: Convert to fraction form
    363,793.92/545,687.04 = 142,176/x
  3. Step 3: Cross multiply
    363,793.92x = 545,687.04 × 142,176
  4. Step 4: Simplify right side
    363,793.92x = 77,583,600,599.04
  5. Step 5: Solve for x
    x = 77,583,600,599.04/363,793.92
  6. Step 6: Final answer
    x = 213,262.50

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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.