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Finding the Fourth Proportional to 218,321.47, 301,267.52 and 122,809.78

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Solution

The fourth proportional to 218,321.47, 301,267.52 and 122,809.78 is: 169,468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,321.47 : 301,267.52 = 122,809.78 : x
  2. Step 2: Convert to fraction form
    218,321.47/301,267.52 = 122,809.78/x
  3. Step 3: Cross multiply
    218,321.47x = 301,267.52 × 122,809.78
  4. Step 4: Simplify right side
    218,321.47x = 36,998,597,238.30
  5. Step 5: Solve for x
    x = 36,998,597,238.30/218,321.47
  6. Step 6: Final answer
    x = 169,468.43

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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.