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Finding the Fourth Proportional to 431,987.58, 647,915.76 and 165,873.42

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Solution

The fourth proportional to 431,987.58, 647,915.76 and 165,873.42 is: 248,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,987.58 : 647,915.76 = 165,873.42 : x
  2. Step 2: Convert to fraction form
    431,987.58/647,915.76 = 165,873.42/x
  3. Step 3: Cross multiply
    431,987.58x = 647,915.76 × 165,873.42
  4. Step 4: Simplify right side
    431,987.58x = 107,472,002,983.10
  5. Step 5: Solve for x
    x = 107,472,002,983.10/431,987.58
  6. Step 6: Final answer
    x = 248,784.94

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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.