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Finding the Fourth Proportional to 411,747.20, 616,843.20 and 211,385.60

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Solution

The fourth proportional to 411,747.20, 616,843.20 and 211,385.60 is: 316,679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,747.20 : 616,843.20 = 211,385.60 : x
  2. Step 2: Convert to fraction form
    411,747.20/616,843.20 = 211,385.60/x
  3. Step 3: Cross multiply
    411,747.20x = 616,843.20 × 211,385.60
  4. Step 4: Simplify right side
    411,747.20x = 130,391,769,937.92
  5. Step 5: Solve for x
    x = 130,391,769,937.92/411,747.20
  6. Step 6: Final answer
    x = 316,679.19

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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.