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Finding the Fourth Proportional to 285,912.12, 429,101.46 and 119,816.76

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Solution

The fourth proportional to 285,912.12, 429,101.46 and 119,816.76 is: 179,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,912.12 : 429,101.46 = 119,816.76 : x
  2. Step 2: Convert to fraction form
    285,912.12/429,101.46 = 119,816.76/x
  3. Step 3: Cross multiply
    285,912.12x = 429,101.46 × 119,816.76
  4. Step 4: Simplify right side
    285,912.12x = 51,413,546,648.47
  5. Step 5: Solve for x
    x = 51,413,546,648.47/285,912.12
  6. Step 6: Final answer
    x = 179,822.90

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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.