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Finding the Fourth Proportional to 312,214.91, 430,857.83 and 168,974.91

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Solution

The fourth proportional to 312,214.91, 430,857.83 and 168,974.91 is: 233,186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,214.91 : 430,857.83 = 168,974.91 : x
  2. Step 2: Convert to fraction form
    312,214.91/430,857.83 = 168,974.91/x
  3. Step 3: Cross multiply
    312,214.91x = 430,857.83 × 168,974.91
  4. Step 4: Simplify right side
    312,214.91x = 72,804,163,469.48
  5. Step 5: Solve for x
    x = 72,804,163,469.48/312,214.91
  6. Step 6: Final answer
    x = 233,186.06

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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.