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Finding the Fourth Proportional to 412,029.80, 617,925.66 and 187,265

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Solution

The fourth proportional to 412,029.80, 617,925.66 and 187,265 is: 280,843.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,029.80 : 617,925.66 = 187,265 : x
  2. Step 2: Convert to fraction form
    412,029.80/617,925.66 = 187,265/x
  3. Step 3: Cross multiply
    412,029.80x = 617,925.66 × 187,265
  4. Step 4: Simplify right side
    412,029.80x = 115,715,848,719.90
  5. Step 5: Solve for x
    x = 115,715,848,719.90/412,029.80
  6. Step 6: Final answer
    x = 280,843.40

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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.