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Finding the Fourth Proportional to 631,507.74, 871,493.22 and 345,045.60

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Solution

The fourth proportional to 631,507.74, 871,493.22 and 345,045.60 is: 476,169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,507.74 : 871,493.22 = 345,045.60 : x
  2. Step 2: Convert to fraction form
    631,507.74/871,493.22 = 345,045.60/x
  3. Step 3: Cross multiply
    631,507.74x = 871,493.22 × 345,045.60
  4. Step 4: Simplify right side
    631,507.74x = 300,704,900,990.83
  5. Step 5: Solve for x
    x = 300,704,900,990.83/631,507.74
  6. Step 6: Final answer
    x = 476,169.78

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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.