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Finding the Fourth Proportional to 412,028.80, 617,924.16 and 187,264

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Solution

The fourth proportional to 412,028.80, 617,924.16 and 187,264 is: 280,841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,028.80 : 617,924.16 = 187,264 : x
  2. Step 2: Convert to fraction form
    412,028.80/617,924.16 = 187,264/x
  3. Step 3: Cross multiply
    412,028.80x = 617,924.16 × 187,264
  4. Step 4: Simplify right side
    412,028.80x = 115,714,949,898.24
  5. Step 5: Solve for x
    x = 115,714,949,898.24/412,028.80
  6. Step 6: Final answer
    x = 280,841.90

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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.