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Finding the Fourth Proportional to 471,381.92, 650,321.16 and 349,172

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Solution

The fourth proportional to 471,381.92, 650,321.16 and 349,172 is: 481,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,381.92 : 650,321.16 = 349,172 : x
  2. Step 2: Convert to fraction form
    471,381.92/650,321.16 = 349,172/x
  3. Step 3: Cross multiply
    471,381.92x = 650,321.16 × 349,172
  4. Step 4: Simplify right side
    471,381.92x = 227,073,940,079.52
  5. Step 5: Solve for x
    x = 227,073,940,079.52/471,381.92
  6. Step 6: Final answer
    x = 481,719.66

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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.