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Finding the Fourth Proportional to 647,891.20, 971,836.80 and 227,209.60

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Solution

The fourth proportional to 647,891.20, 971,836.80 and 227,209.60 is: 340,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,891.20 : 971,836.80 = 227,209.60 : x
  2. Step 2: Convert to fraction form
    647,891.20/971,836.80 = 227,209.60/x
  3. Step 3: Cross multiply
    647,891.20x = 971,836.80 × 227,209.60
  4. Step 4: Simplify right side
    647,891.20x = 220,810,650,593.28
  5. Step 5: Solve for x
    x = 220,810,650,593.28/647,891.20
  6. Step 6: Final answer
    x = 340,814.40

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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.