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Finding the Fourth Proportional to 631,773.84, 871,834.32 and 356,129.76

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Solution

The fourth proportional to 631,773.84, 871,834.32 and 356,129.76 is: 491,451.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,773.84 : 871,834.32 = 356,129.76 : x
  2. Step 2: Convert to fraction form
    631,773.84/871,834.32 = 356,129.76/x
  3. Step 3: Cross multiply
    631,773.84x = 871,834.32 × 356,129.76
  4. Step 4: Simplify right side
    631,773.84x = 310,486,147,141.36
  5. Step 5: Solve for x
    x = 310,486,147,141.36/631,773.84
  6. Step 6: Final answer
    x = 491,451.41

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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.