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Finding the Fourth Proportional to 543,456.20, 816,059.10 and 410,486.60

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Solution

The fourth proportional to 543,456.20, 816,059.10 and 410,486.60 is: 616,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,456.20 : 816,059.10 = 410,486.60 : x
  2. Step 2: Convert to fraction form
    543,456.20/816,059.10 = 410,486.60/x
  3. Step 3: Cross multiply
    543,456.20x = 816,059.10 × 410,486.60
  4. Step 4: Simplify right side
    543,456.20x = 334,981,325,358.06
  5. Step 5: Solve for x
    x = 334,981,325,358.06/543,456.20
  6. Step 6: Final answer
    x = 616,390.66

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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.