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Finding the Fourth Proportional to 378,581.61, 522,449.73 and 206,505.72

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Solution

The fourth proportional to 378,581.61, 522,449.73 and 206,505.72 is: 284,981.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,581.61 : 522,449.73 = 206,505.72 : x
  2. Step 2: Convert to fraction form
    378,581.61/522,449.73 = 206,505.72/x
  3. Step 3: Cross multiply
    378,581.61x = 522,449.73 × 206,505.72
  4. Step 4: Simplify right side
    378,581.61x = 107,888,857,657.46
  5. Step 5: Solve for x
    x = 107,888,857,657.46/378,581.61
  6. Step 6: Final answer
    x = 284,981.77

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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.