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Finding the Fourth Proportional to 378,776, 567,864.48 and 189,138.88

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Solution

The fourth proportional to 378,776, 567,864.48 and 189,138.88 is: 283,558.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,776 : 567,864.48 = 189,138.88 : x
  2. Step 2: Convert to fraction form
    378,776/567,864.48 = 189,138.88/x
  3. Step 3: Cross multiply
    378,776x = 567,864.48 × 189,138.88
  4. Step 4: Simplify right side
    378,776x = 107,405,251,738.98
  5. Step 5: Solve for x
    x = 107,405,251,738.98/378,776
  6. Step 6: Final answer
    x = 283,558.76

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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.