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Finding the Fourth Proportional to 538,738.60, 807,978.30 and 164,764.84

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Solution

The fourth proportional to 538,738.60, 807,978.30 and 164,764.84 is: 247,107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,738.60 : 807,978.30 = 164,764.84 : x
  2. Step 2: Convert to fraction form
    538,738.60/807,978.30 = 164,764.84/x
  3. Step 3: Cross multiply
    538,738.60x = 807,978.30 × 164,764.84
  4. Step 4: Simplify right side
    538,738.60x = 133,126,415,322.97
  5. Step 5: Solve for x
    x = 133,126,415,322.97/538,738.60
  6. Step 6: Final answer
    x = 247,107.62

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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.