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Finding the Fourth Proportional to 471,478.20, 706,439.70 and 404,604.60

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Solution

The fourth proportional to 471,478.20, 706,439.70 and 404,604.60 is: 606,239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,478.20 : 706,439.70 = 404,604.60 : x
  2. Step 2: Convert to fraction form
    471,478.20/706,439.70 = 404,604.60/x
  3. Step 3: Cross multiply
    471,478.20x = 706,439.70 × 404,604.60
  4. Step 4: Simplify right side
    471,478.20x = 285,828,752,242.62
  5. Step 5: Solve for x
    x = 285,828,752,242.62/471,478.20
  6. Step 6: Final answer
    x = 606,239.59

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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.