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Finding the Fourth Proportional to 851,217.12, 1,174,687.56 and 469,257.48

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Solution

The fourth proportional to 851,217.12, 1,174,687.56 and 469,257.48 is: 647,579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,217.12 : 1,174,687.56 = 469,257.48 : x
  2. Step 2: Convert to fraction form
    851,217.12/1,174,687.56 = 469,257.48/x
  3. Step 3: Cross multiply
    851,217.12x = 1,174,687.56 × 469,257.48
  4. Step 4: Simplify right side
    851,217.12x = 551,230,924,192.95
  5. Step 5: Solve for x
    x = 551,230,924,192.95/851,217.12
  6. Step 6: Final answer
    x = 647,579.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.