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Finding the Fourth Proportional to 397,385.91, 548,406.96 and 227,652.84

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Solution

The fourth proportional to 397,385.91, 548,406.96 and 227,652.84 is: 314,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,385.91 : 548,406.96 = 227,652.84 : x
  2. Step 2: Convert to fraction form
    397,385.91/548,406.96 = 227,652.84/x
  3. Step 3: Cross multiply
    397,385.91x = 548,406.96 × 227,652.84
  4. Step 4: Simplify right side
    397,385.91x = 124,846,400,781.50
  5. Step 5: Solve for x
    x = 124,846,400,781.50/397,385.91
  6. Step 6: Final answer
    x = 314,169.17

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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.