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Finding the Fourth Proportional to 398,725.92, 550,241.88 and 217,433.18

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Solution

The fourth proportional to 398,725.92, 550,241.88 and 217,433.18 is: 300,057.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,725.92 : 550,241.88 = 217,433.18 : x
  2. Step 2: Convert to fraction form
    398,725.92/550,241.88 = 217,433.18/x
  3. Step 3: Cross multiply
    398,725.92x = 550,241.88 × 217,433.18
  4. Step 4: Simplify right side
    398,725.92x = 119,640,838,986.37
  5. Step 5: Solve for x
    x = 119,640,838,986.37/398,725.92
  6. Step 6: Final answer
    x = 300,057.84

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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.