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Finding the Fourth Proportional to 431,685.87, 647,159.54 and 165,637.32

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Solution

The fourth proportional to 431,685.87, 647,159.54 and 165,637.32 is: 248,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,685.87 : 647,159.54 = 165,637.32 : x
  2. Step 2: Convert to fraction form
    431,685.87/647,159.54 = 165,637.32/x
  3. Step 3: Cross multiply
    431,685.87x = 647,159.54 × 165,637.32
  4. Step 4: Simplify right side
    431,685.87x = 107,193,767,754.05
  5. Step 5: Solve for x
    x = 107,193,767,754.05/431,685.87
  6. Step 6: Final answer
    x = 248,314.29

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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.