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Finding the Fourth Proportional to 271,307.20, 406,960.80 and 218,819.20

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Solution

The fourth proportional to 271,307.20, 406,960.80 and 218,819.20 is: 328,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,307.20 : 406,960.80 = 218,819.20 : x
  2. Step 2: Convert to fraction form
    271,307.20/406,960.80 = 218,819.20/x
  3. Step 3: Cross multiply
    271,307.20x = 406,960.80 × 218,819.20
  4. Step 4: Simplify right side
    271,307.20x = 89,050,836,687.36
  5. Step 5: Solve for x
    x = 89,050,836,687.36/271,307.20
  6. Step 6: Final answer
    x = 328,228.80

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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.