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Finding the Fourth Proportional to 415,000.10, 622,500.15 and 412,375.70

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Solution

The fourth proportional to 415,000.10, 622,500.15 and 412,375.70 is: 618,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,000.10 : 622,500.15 = 412,375.70 : x
  2. Step 2: Convert to fraction form
    415,000.10/622,500.15 = 412,375.70/x
  3. Step 3: Cross multiply
    415,000.10x = 622,500.15 × 412,375.70
  4. Step 4: Simplify right side
    415,000.10x = 256,703,935,106.36
  5. Step 5: Solve for x
    x = 256,703,935,106.36/415,000.10
  6. Step 6: Final answer
    x = 618,563.55

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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.