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Finding the Fourth Proportional to 378,171.72, 521,877.06 and 206,089.74

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Solution

The fourth proportional to 378,171.72, 521,877.06 and 206,089.74 is: 284,403.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,171.72 : 521,877.06 = 206,089.74 : x
  2. Step 2: Convert to fraction form
    378,171.72/521,877.06 = 206,089.74/x
  3. Step 3: Cross multiply
    378,171.72x = 521,877.06 × 206,089.74
  4. Step 4: Simplify right side
    378,171.72x = 107,553,507,607.36
  5. Step 5: Solve for x
    x = 107,553,507,607.36/378,171.72
  6. Step 6: Final answer
    x = 284,403.89

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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.