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Finding the Fourth Proportional to 431,860.12, 647,664.90 and 165,601.24

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Solution

The fourth proportional to 431,860.12, 647,664.90 and 165,601.24 is: 248,353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,860.12 : 647,664.90 = 165,601.24 : x
  2. Step 2: Convert to fraction form
    431,860.12/647,664.90 = 165,601.24/x
  3. Step 3: Cross multiply
    431,860.12x = 647,664.90 × 165,601.24
  4. Step 4: Simplify right side
    431,860.12x = 107,254,110,544.48
  5. Step 5: Solve for x
    x = 107,254,110,544.48/431,860.12
  6. Step 6: Final answer
    x = 248,353.82

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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.