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Finding the Fourth Proportional to 431,504.57, 647,262.32 and 165,281.06

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Solution

The fourth proportional to 431,504.57, 647,262.32 and 165,281.06 is: 247,923.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,504.57 : 647,262.32 = 165,281.06 : x
  2. Step 2: Convert to fraction form
    431,504.57/647,262.32 = 165,281.06/x
  3. Step 3: Cross multiply
    431,504.57x = 647,262.32 × 165,281.06
  4. Step 4: Simplify right side
    431,504.57x = 106,980,198,284.94
  5. Step 5: Solve for x
    x = 106,980,198,284.94/431,504.57
  6. Step 6: Final answer
    x = 247,923.68

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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.