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Finding the Fourth Proportional to 259,107.78, 387,783.83 and 159,331.17

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Solution

The fourth proportional to 259,107.78, 387,783.83 and 159,331.17 is: 238,456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,107.78 : 387,783.83 = 159,331.17 : x
  2. Step 2: Convert to fraction form
    259,107.78/387,783.83 = 159,331.17/x
  3. Step 3: Cross multiply
    259,107.78x = 387,783.83 × 159,331.17
  4. Step 4: Simplify right side
    259,107.78x = 61,786,048,605.41
  5. Step 5: Solve for x
    x = 61,786,048,605.41/259,107.78
  6. Step 6: Final answer
    x = 238,456.95

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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.