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Finding the Fourth Proportional to 431,963.80, 647,751.30 and 165,635.80

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Solution

The fourth proportional to 431,963.80, 647,751.30 and 165,635.80 is: 248,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,963.80 : 647,751.30 = 165,635.80 : x
  2. Step 2: Convert to fraction form
    431,963.80/647,751.30 = 165,635.80/x
  3. Step 3: Cross multiply
    431,963.80x = 647,751.30 × 165,635.80
  4. Step 4: Simplify right side
    431,963.80x = 107,290,804,776.54
  5. Step 5: Solve for x
    x = 107,290,804,776.54/431,963.80
  6. Step 6: Final answer
    x = 248,379.16

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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.