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Finding the Fourth Proportional to 431,648.32, 647,659.08 and 231,735.28

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Solution

The fourth proportional to 431,648.32, 647,659.08 and 231,735.28 is: 347,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,648.32 : 647,659.08 = 231,735.28 : x
  2. Step 2: Convert to fraction form
    431,648.32/647,659.08 = 231,735.28/x
  3. Step 3: Cross multiply
    431,648.32x = 647,659.08 × 231,735.28
  4. Step 4: Simplify right side
    431,648.32x = 150,085,458,248.34
  5. Step 5: Solve for x
    x = 150,085,458,248.34/431,648.32
  6. Step 6: Final answer
    x = 347,703.10

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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.