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Finding the Fourth Proportional to 412,240.78, 617,555.85 and 284,134.30

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Solution

The fourth proportional to 412,240.78, 617,555.85 and 284,134.30 is: 425,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,240.78 : 617,555.85 = 284,134.30 : x
  2. Step 2: Convert to fraction form
    412,240.78/617,555.85 = 284,134.30/x
  3. Step 3: Cross multiply
    412,240.78x = 617,555.85 × 284,134.30
  4. Step 4: Simplify right side
    412,240.78x = 175,468,799,150.66
  5. Step 5: Solve for x
    x = 175,468,799,150.66/412,240.78
  6. Step 6: Final answer
    x = 425,646.39

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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.