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Finding the Fourth Proportional to 219,310.20, 328,965.30 and 144,514.80

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Solution

The fourth proportional to 219,310.20, 328,965.30 and 144,514.80 is: 216,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,310.20 : 328,965.30 = 144,514.80 : x
  2. Step 2: Convert to fraction form
    219,310.20/328,965.30 = 144,514.80/x
  3. Step 3: Cross multiply
    219,310.20x = 328,965.30 × 144,514.80
  4. Step 4: Simplify right side
    219,310.20x = 47,540,354,536.44
  5. Step 5: Solve for x
    x = 47,540,354,536.44/219,310.20
  6. Step 6: Final answer
    x = 216,772.20

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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.