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Finding the Fourth Proportional to 412,251.80, 617,572.32 and 284,145.32

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Solution

The fourth proportional to 412,251.80, 617,572.32 and 284,145.32 is: 425,662.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,251.80 : 617,572.32 = 284,145.32 : x
  2. Step 2: Convert to fraction form
    412,251.80/617,572.32 = 284,145.32/x
  3. Step 3: Cross multiply
    412,251.80x = 617,572.32 × 284,145.32
  4. Step 4: Simplify right side
    412,251.80x = 175,480,284,489.54
  5. Step 5: Solve for x
    x = 175,480,284,489.54/412,251.80
  6. Step 6: Final answer
    x = 425,662.87

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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.