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Finding the Fourth Proportional to 219,314.70, 328,972.05 and 144,519.30

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Solution

The fourth proportional to 219,314.70, 328,972.05 and 144,519.30 is: 216,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,314.70 : 328,972.05 = 144,519.30 : x
  2. Step 2: Convert to fraction form
    219,314.70/328,972.05 = 144,519.30/x
  3. Step 3: Cross multiply
    219,314.70x = 328,972.05 × 144,519.30
  4. Step 4: Simplify right side
    219,314.70x = 47,542,810,385.57
  5. Step 5: Solve for x
    x = 47,542,810,385.57/219,314.70
  6. Step 6: Final answer
    x = 216,778.95

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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.