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Finding the Fourth Proportional to 431,390.20, 647,085.30 and 221,438.20

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Solution

The fourth proportional to 431,390.20, 647,085.30 and 221,438.20 is: 332,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,390.20 : 647,085.30 = 221,438.20 : x
  2. Step 2: Convert to fraction form
    431,390.20/647,085.30 = 221,438.20/x
  3. Step 3: Cross multiply
    431,390.20x = 647,085.30 × 221,438.20
  4. Step 4: Simplify right side
    431,390.20x = 143,289,404,078.46
  5. Step 5: Solve for x
    x = 143,289,404,078.46/431,390.20
  6. Step 6: Final answer
    x = 332,157.30

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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.