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Finding the Fourth Proportional to 631,704.96, 871,753.17 and 345,225.00

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Solution

The fourth proportional to 631,704.96, 871,753.17 and 345,225.00 is: 476,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,704.96 : 871,753.17 = 345,225.00 : x
  2. Step 2: Convert to fraction form
    631,704.96/871,753.17 = 345,225.00/x
  3. Step 3: Cross multiply
    631,704.96x = 871,753.17 × 345,225.00
  4. Step 4: Simplify right side
    631,704.96x = 300,950,990,292.63
  5. Step 5: Solve for x
    x = 300,950,990,292.63/631,704.96
  6. Step 6: Final answer
    x = 476,410.68

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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.