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Finding the Fourth Proportional to 378,102.57, 521,783.15 and 208,336.83

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Solution

The fourth proportional to 378,102.57, 521,783.15 and 208,336.83 is: 287,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,102.57 : 521,783.15 = 208,336.83 : x
  2. Step 2: Convert to fraction form
    378,102.57/521,783.15 = 208,336.83/x
  3. Step 3: Cross multiply
    378,102.57x = 521,783.15 × 208,336.83
  4. Step 4: Simplify right side
    378,102.57x = 108,706,646,376.73
  5. Step 5: Solve for x
    x = 108,706,646,376.73/378,102.57
  6. Step 6: Final answer
    x = 287,505.71

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1.5x scale

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.