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Finding the Fourth Proportional to 631,709.29, 871,757.40 and 359,777.17

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Solution

The fourth proportional to 631,709.29, 871,757.40 and 359,777.17 is: 496,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,709.29 : 871,757.40 = 359,777.17 : x
  2. Step 2: Convert to fraction form
    631,709.29/871,757.40 = 359,777.17/x
  3. Step 3: Cross multiply
    631,709.29x = 871,757.40 × 359,777.17
  4. Step 4: Simplify right side
    631,709.29x = 313,638,410,298.56
  5. Step 5: Solve for x
    x = 313,638,410,298.56/631,709.29
  6. Step 6: Final answer
    x = 496,491.69

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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.