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Finding the Fourth Proportional to 631,691.56, 871,734.74 and 345,211.64

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Solution

The fourth proportional to 631,691.56, 871,734.74 and 345,211.64 is: 476,392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,691.56 : 871,734.74 = 345,211.64 : x
  2. Step 2: Convert to fraction form
    631,691.56/871,734.74 = 345,211.64/x
  3. Step 3: Cross multiply
    631,691.56x = 871,734.74 × 345,211.64
  4. Step 4: Simplify right side
    631,691.56x = 300,932,979,240.37
  5. Step 5: Solve for x
    x = 300,932,979,240.37/631,691.56
  6. Step 6: Final answer
    x = 476,392.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.