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Finding the Fourth Proportional to 378,245.66, 567,540.70 and 141,606.76

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Solution

The fourth proportional to 378,245.66, 567,540.70 and 141,606.76 is: 212,474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,245.66 : 567,540.70 = 141,606.76 : x
  2. Step 2: Convert to fraction form
    378,245.66/567,540.70 = 141,606.76/x
  3. Step 3: Cross multiply
    378,245.66x = 567,540.70 × 141,606.76
  4. Step 4: Simplify right side
    378,245.66x = 80,367,599,695.13
  5. Step 5: Solve for x
    x = 80,367,599,695.13/378,245.66
  6. Step 6: Final answer
    x = 212,474.61

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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.