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Finding the Fourth Proportional to 474,163.85, 654,147.64 and 310,859.56

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Solution

The fourth proportional to 474,163.85, 654,147.64 and 310,859.56 is: 428,856.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,163.85 : 654,147.64 = 310,859.56 : x
  2. Step 2: Convert to fraction form
    474,163.85/654,147.64 = 310,859.56/x
  3. Step 3: Cross multiply
    474,163.85x = 654,147.64 × 310,859.56
  4. Step 4: Simplify right side
    474,163.85x = 203,348,047,545.44
  5. Step 5: Solve for x
    x = 203,348,047,545.44/474,163.85
  6. Step 6: Final answer
    x = 428,856.07

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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.