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Finding the Fourth Proportional to 378,641.62, 522,489.13 and 208,864.81

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Solution

The fourth proportional to 378,641.62, 522,489.13 and 208,864.81 is: 288,213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,641.62 : 522,489.13 = 208,864.81 : x
  2. Step 2: Convert to fraction form
    378,641.62/522,489.13 = 208,864.81/x
  3. Step 3: Cross multiply
    378,641.62x = 522,489.13 × 208,864.81
  4. Step 4: Simplify right side
    378,641.62x = 109,129,594,170.33
  5. Step 5: Solve for x
    x = 109,129,594,170.33/378,641.62
  6. Step 6: Final answer
    x = 288,213.41

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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.