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Finding the Fourth Proportional to 412,148.80, 617,877.60 and 215,156.80

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Solution

The fourth proportional to 412,148.80, 617,877.60 and 215,156.80 is: 322,554.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,148.80 : 617,877.60 = 215,156.80 : x
  2. Step 2: Convert to fraction form
    412,148.80/617,877.60 = 215,156.80/x
  3. Step 3: Cross multiply
    412,148.80x = 617,877.60 × 215,156.80
  4. Step 4: Simplify right side
    412,148.80x = 132,940,567,207.68
  5. Step 5: Solve for x
    x = 132,940,567,207.68/412,148.80
  6. Step 6: Final answer
    x = 322,554.78

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1.5x scale

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.