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Finding the Fourth Proportional to 378,066.50, 521,734.20 and 208,301.84

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Solution

The fourth proportional to 378,066.50, 521,734.20 and 208,301.84 is: 287,457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,066.50 : 521,734.20 = 208,301.84 : x
  2. Step 2: Convert to fraction form
    378,066.50/521,734.20 = 208,301.84/x
  3. Step 3: Cross multiply
    378,066.50x = 521,734.20 × 208,301.84
  4. Step 4: Simplify right side
    378,066.50x = 108,678,193,850.93
  5. Step 5: Solve for x
    x = 108,678,193,850.93/378,066.50
  6. Step 6: Final answer
    x = 287,457.88

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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.