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Finding the Fourth Proportional to 219,078.40, 328,747.20 and 159,764.80

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Solution

The fourth proportional to 219,078.40, 328,747.20 and 159,764.80 is: 239,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,078.40 : 328,747.20 = 159,764.80 : x
  2. Step 2: Convert to fraction form
    219,078.40/328,747.20 = 159,764.80/x
  3. Step 3: Cross multiply
    219,078.40x = 328,747.20 × 159,764.80
  4. Step 4: Simplify right side
    219,078.40x = 52,522,230,658.56
  5. Step 5: Solve for x
    x = 52,522,230,658.56/219,078.40
  6. Step 6: Final answer
    x = 239,741.71

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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.