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Finding the Fourth Proportional to 431,662.80, 647,494.20 and 221,710.80

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Solution

The fourth proportional to 431,662.80, 647,494.20 and 221,710.80 is: 332,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,662.80 : 647,494.20 = 221,710.80 : x
  2. Step 2: Convert to fraction form
    431,662.80/647,494.20 = 221,710.80/x
  3. Step 3: Cross multiply
    431,662.80x = 647,494.20 × 221,710.80
  4. Step 4: Simplify right side
    431,662.80x = 143,556,457,077.36
  5. Step 5: Solve for x
    x = 143,556,457,077.36/431,662.80
  6. Step 6: Final answer
    x = 332,566.20

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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.