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Finding the Fourth Proportional to 312,198.10, 430,834.14 and 168,959.72

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Solution

The fourth proportional to 312,198.10, 430,834.14 and 168,959.72 is: 233,164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,198.10 : 430,834.14 = 168,959.72 : x
  2. Step 2: Convert to fraction form
    312,198.10/430,834.14 = 168,959.72/x
  3. Step 3: Cross multiply
    312,198.10x = 430,834.14 × 168,959.72
  4. Step 4: Simplify right side
    312,198.10x = 72,793,616,737.93
  5. Step 5: Solve for x
    x = 72,793,616,737.93/312,198.10
  6. Step 6: Final answer
    x = 233,164.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.