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Finding the Fourth Proportional to 647,287.20, 970,895.84 and 198,008.15

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Solution

The fourth proportional to 647,287.20, 970,895.84 and 198,008.15 is: 297,001.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,287.20 : 970,895.84 = 198,008.15 : x
  2. Step 2: Convert to fraction form
    647,287.20/970,895.84 = 198,008.15/x
  3. Step 3: Cross multiply
    647,287.20x = 970,895.84 × 198,008.15
  4. Step 4: Simplify right side
    647,287.20x = 192,245,283,276.58
  5. Step 5: Solve for x
    x = 192,245,283,276.58/647,287.20
  6. Step 6: Final answer
    x = 297,001.52

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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.