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Finding the Fourth Proportional to 378,086.51, 521,771.21 and 216,971.03

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Solution

The fourth proportional to 378,086.51, 521,771.21 and 216,971.03 is: 299,426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,086.51 : 521,771.21 = 216,971.03 : x
  2. Step 2: Convert to fraction form
    378,086.51/521,771.21 = 216,971.03/x
  3. Step 3: Cross multiply
    378,086.51x = 521,771.21 × 216,971.03
  4. Step 4: Simplify right side
    378,086.51x = 113,209,236,858.05
  5. Step 5: Solve for x
    x = 113,209,236,858.05/378,086.51
  6. Step 6: Final answer
    x = 299,426.81

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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.