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Finding the Fourth Proportional to 457,725.40, 686,588.10 and 408,736.60

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Solution

The fourth proportional to 457,725.40, 686,588.10 and 408,736.60 is: 613,104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,725.40 : 686,588.10 = 408,736.60 : x
  2. Step 2: Convert to fraction form
    457,725.40/686,588.10 = 408,736.60/x
  3. Step 3: Cross multiply
    457,725.40x = 686,588.10 × 408,736.60
  4. Step 4: Simplify right side
    457,725.40x = 280,633,685,594.46
  5. Step 5: Solve for x
    x = 280,633,685,594.46/457,725.40
  6. Step 6: Final answer
    x = 613,104.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.