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Finding the Fourth Proportional to 378,011.57, 521,655.81 and 208,245.69

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Solution

The fourth proportional to 378,011.57, 521,655.81 and 208,245.69 is: 287,378.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,011.57 : 521,655.81 = 208,245.69 : x
  2. Step 2: Convert to fraction form
    378,011.57/521,655.81 = 208,245.69/x
  3. Step 3: Cross multiply
    378,011.57x = 521,655.81 × 208,245.69
  4. Step 4: Simplify right side
    378,011.57x = 108,632,573,054.73
  5. Step 5: Solve for x
    x = 108,632,573,054.73/378,011.57
  6. Step 6: Final answer
    x = 287,378.97

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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.