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Finding the Fourth Proportional to 312,644.36, 469,010.28 and 102,240.38

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Solution

The fourth proportional to 312,644.36, 469,010.28 and 102,240.38 is: 153,374.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,644.36 : 469,010.28 = 102,240.38 : x
  2. Step 2: Convert to fraction form
    312,644.36/469,010.28 = 102,240.38/x
  3. Step 3: Cross multiply
    312,644.36x = 469,010.28 × 102,240.38
  4. Step 4: Simplify right side
    312,644.36x = 47,951,789,251.11
  5. Step 5: Solve for x
    x = 47,951,789,251.11/312,644.36
  6. Step 6: Final answer
    x = 153,374.87

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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.