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Finding the Fourth Proportional to 378,859.28, 567,795.32 and 153,956.80

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Solution

The fourth proportional to 378,859.28, 567,795.32 and 153,956.80 is: 230,734.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,859.28 : 567,795.32 = 153,956.80 : x
  2. Step 2: Convert to fraction form
    378,859.28/567,795.32 = 153,956.80/x
  3. Step 3: Cross multiply
    378,859.28x = 567,795.32 × 153,956.80
  4. Step 4: Simplify right side
    378,859.28x = 87,415,951,039.47
  5. Step 5: Solve for x
    x = 87,415,951,039.47/378,859.28
  6. Step 6: Final answer
    x = 230,734.62

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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.