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Finding the Fourth Proportional to 397,684.40, 548,813.86 and 225,613.98

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Solution

The fourth proportional to 397,684.40, 548,813.86 and 225,613.98 is: 311,352.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,684.40 : 548,813.86 = 225,613.98 : x
  2. Step 2: Convert to fraction form
    397,684.40/548,813.86 = 225,613.98/x
  3. Step 3: Cross multiply
    397,684.40x = 548,813.86 × 225,613.98
  4. Step 4: Simplify right side
    397,684.40x = 123,820,079,233.76
  5. Step 5: Solve for x
    x = 123,820,079,233.76/397,684.40
  6. Step 6: Final answer
    x = 311,352.62

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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.