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Finding the Fourth Proportional to 431,567.20, 647,107.80 and 165,336.40

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Solution

The fourth proportional to 431,567.20, 647,107.80 and 165,336.40 is: 247,911.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,567.20 : 647,107.80 = 165,336.40 : x
  2. Step 2: Convert to fraction form
    431,567.20/647,107.80 = 165,336.40/x
  3. Step 3: Cross multiply
    431,567.20x = 647,107.80 × 165,336.40
  4. Step 4: Simplify right side
    431,567.20x = 106,990,474,063.92
  5. Step 5: Solve for x
    x = 106,990,474,063.92/431,567.20
  6. Step 6: Final answer
    x = 247,911.51

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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.