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Finding the Fourth Proportional to 378,123.51, 521,803.72 and 206,042.69

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Solution

The fourth proportional to 378,123.51, 521,803.72 and 206,042.69 is: 284,335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,123.51 : 521,803.72 = 206,042.69 : x
  2. Step 2: Convert to fraction form
    378,123.51/521,803.72 = 206,042.69/x
  3. Step 3: Cross multiply
    378,123.51x = 521,803.72 × 206,042.69
  4. Step 4: Simplify right side
    378,123.51x = 107,513,843,682.87
  5. Step 5: Solve for x
    x = 107,513,843,682.87/378,123.51
  6. Step 6: Final answer
    x = 284,335.25

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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.