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Finding the Fourth Proportional to 422,209.57, 633,647.19 and 156,046.20

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Solution

The fourth proportional to 422,209.57, 633,647.19 and 156,046.20 is: 234,192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,209.57 : 633,647.19 = 156,046.20 : x
  2. Step 2: Convert to fraction form
    422,209.57/633,647.19 = 156,046.20/x
  3. Step 3: Cross multiply
    422,209.57x = 633,647.19 × 156,046.20
  4. Step 4: Simplify right side
    422,209.57x = 98,878,236,140.18
  5. Step 5: Solve for x
    x = 98,878,236,140.18/422,209.57
  6. Step 6: Final answer
    x = 234,192.31

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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.