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Finding the Fourth Proportional to 431,641.89, 647,521.92 and 147,256.09

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Solution

The fourth proportional to 431,641.89, 647,521.92 and 147,256.09 is: 220,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,641.89 : 647,521.92 = 147,256.09 : x
  2. Step 2: Convert to fraction form
    431,641.89/647,521.92 = 147,256.09/x
  3. Step 3: Cross multiply
    431,641.89x = 647,521.92 × 147,256.09
  4. Step 4: Simplify right side
    431,641.89x = 95,351,546,128.49
  5. Step 5: Solve for x
    x = 95,351,546,128.49/431,641.89
  6. Step 6: Final answer
    x = 220,904.29

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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.