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Finding the Fourth Proportional to 431,686.11, 647,159.91 and 165,637.56

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Solution

The fourth proportional to 431,686.11, 647,159.91 and 165,637.56 is: 248,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,686.11 : 647,159.91 = 165,637.56 : x
  2. Step 2: Convert to fraction form
    431,686.11/647,159.91 = 165,637.56/x
  3. Step 3: Cross multiply
    431,686.11x = 647,159.91 × 165,637.56
  4. Step 4: Simplify right side
    431,686.11x = 107,193,988,422.22
  5. Step 5: Solve for x
    x = 107,193,988,422.22/431,686.11
  6. Step 6: Final answer
    x = 248,314.66

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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.