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Finding the Fourth Proportional to 285,862.50, 428,793.75 and 119,650.50

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Solution

The fourth proportional to 285,862.50, 428,793.75 and 119,650.50 is: 179,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,862.50 : 428,793.75 = 119,650.50 : x
  2. Step 2: Convert to fraction form
    285,862.50/428,793.75 = 119,650.50/x
  3. Step 3: Cross multiply
    285,862.50x = 428,793.75 × 119,650.50
  4. Step 4: Simplify right side
    285,862.50x = 51,305,386,584.38
  5. Step 5: Solve for x
    x = 51,305,386,584.38/285,862.50
  6. Step 6: Final answer
    x = 179,475.75

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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.