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Finding the Fourth Proportional to 431,391.60, 647,087.40 and 221,439.60

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Solution

The fourth proportional to 431,391.60, 647,087.40 and 221,439.60 is: 332,159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,391.60 : 647,087.40 = 221,439.60 : x
  2. Step 2: Convert to fraction form
    431,391.60/647,087.40 = 221,439.60/x
  3. Step 3: Cross multiply
    431,391.60x = 647,087.40 × 221,439.60
  4. Step 4: Simplify right side
    431,391.60x = 143,290,775,021.04
  5. Step 5: Solve for x
    x = 143,290,775,021.04/431,391.60
  6. Step 6: Final answer
    x = 332,159.40

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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.