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Finding the Fourth Proportional to 397,212.54, 548,019.90 and 225,117

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Solution

The fourth proportional to 397,212.54, 548,019.90 and 225,117 is: 310,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,212.54 : 548,019.90 = 225,117 : x
  2. Step 2: Convert to fraction form
    397,212.54/548,019.90 = 225,117/x
  3. Step 3: Cross multiply
    397,212.54x = 548,019.90 × 225,117
  4. Step 4: Simplify right side
    397,212.54x = 123,368,595,828.30
  5. Step 5: Solve for x
    x = 123,368,595,828.30/397,212.54
  6. Step 6: Final answer
    x = 310,585.85

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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.