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Finding the Fourth Proportional to 431,405.80, 646,647.90 and 165,063.40

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Solution

The fourth proportional to 431,405.80, 646,647.90 and 165,063.40 is: 247,418.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,405.80 : 646,647.90 = 165,063.40 : x
  2. Step 2: Convert to fraction form
    431,405.80/646,647.90 = 165,063.40/x
  3. Step 3: Cross multiply
    431,405.80x = 646,647.90 × 165,063.40
  4. Step 4: Simplify right side
    431,405.80x = 106,737,900,976.86
  5. Step 5: Solve for x
    x = 106,737,900,976.86/431,405.80
  6. Step 6: Final answer
    x = 247,418.79

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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.