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Finding the Fourth Proportional to 378,054.96, 521,717.16 and 208,288.68

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Solution

The fourth proportional to 378,054.96, 521,717.16 and 208,288.68 is: 287,439.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,054.96 : 521,717.16 = 208,288.68 : x
  2. Step 2: Convert to fraction form
    378,054.96/521,717.16 = 208,288.68/x
  3. Step 3: Cross multiply
    378,054.96x = 521,717.16 × 208,288.68
  4. Step 4: Simplify right side
    378,054.96x = 108,667,778,589.75
  5. Step 5: Solve for x
    x = 108,667,778,589.75/378,054.96
  6. Step 6: Final answer
    x = 287,439.10

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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.