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Finding the Fourth Proportional to 408,213.02, 612,331.05 and 112,725.02

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Solution

The fourth proportional to 408,213.02, 612,331.05 and 112,725.02 is: 169,090.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,213.02 : 612,331.05 = 112,725.02 : x
  2. Step 2: Convert to fraction form
    408,213.02/612,331.05 = 112,725.02/x
  3. Step 3: Cross multiply
    408,213.02x = 612,331.05 × 112,725.02
  4. Step 4: Simplify right side
    408,213.02x = 69,025,029,857.87
  5. Step 5: Solve for x
    x = 69,025,029,857.87/408,213.02
  6. Step 6: Final answer
    x = 169,090.71

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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.