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Finding the Fourth Proportional to 378,228.40, 521,958.36 and 208,462.96

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Solution

The fourth proportional to 378,228.40, 521,958.36 and 208,462.96 is: 287,680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,228.40 : 521,958.36 = 208,462.96 : x
  2. Step 2: Convert to fraction form
    378,228.40/521,958.36 = 208,462.96/x
  3. Step 3: Cross multiply
    378,228.40x = 521,958.36 × 208,462.96
  4. Step 4: Simplify right side
    378,228.40x = 108,808,984,722.35
  5. Step 5: Solve for x
    x = 108,808,984,722.35/378,228.40
  6. Step 6: Final answer
    x = 287,680.63

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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.