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Finding the Fourth Proportional to 378,190.81, 521,903.40 and 206,108.82

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Solution

The fourth proportional to 378,190.81, 521,903.40 and 206,108.82 is: 284,430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,190.81 : 521,903.40 = 206,108.82 : x
  2. Step 2: Convert to fraction form
    378,190.81/521,903.40 = 206,108.82/x
  3. Step 3: Cross multiply
    378,190.81x = 521,903.40 × 206,108.82
  4. Step 4: Simplify right side
    378,190.81x = 107,568,893,927.99
  5. Step 5: Solve for x
    x = 107,568,893,927.99/378,190.81
  6. Step 6: Final answer
    x = 284,430.22

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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.