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Finding the Fourth Proportional to 252,886.24, 379,201.78 and 84,346.91

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Solution

The fourth proportional to 252,886.24, 379,201.78 and 84,346.91 is: 126,477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,886.24 : 379,201.78 = 84,346.91 : x
  2. Step 2: Convert to fraction form
    252,886.24/379,201.78 = 84,346.91/x
  3. Step 3: Cross multiply
    252,886.24x = 379,201.78 × 84,346.91
  4. Step 4: Simplify right side
    252,886.24x = 31,984,498,409.50
  5. Step 5: Solve for x
    x = 31,984,498,409.50/252,886.24
  6. Step 6: Final answer
    x = 126,477.81

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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.