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Finding the Fourth Proportional to 312,044.28, 430,620.72 and 168,804

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Solution

The fourth proportional to 312,044.28, 430,620.72 and 168,804 is: 232,949.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,044.28 : 430,620.72 = 168,804 : x
  2. Step 2: Convert to fraction form
    312,044.28/430,620.72 = 168,804/x
  3. Step 3: Cross multiply
    312,044.28x = 430,620.72 × 168,804
  4. Step 4: Simplify right side
    312,044.28x = 72,690,500,018.88
  5. Step 5: Solve for x
    x = 72,690,500,018.88/312,044.28
  6. Step 6: Final answer
    x = 232,949.31

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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.