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Finding the Fourth Proportional to 378,172.19, 521,877.71 and 206,090.19

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Solution

The fourth proportional to 378,172.19, 521,877.71 and 206,090.19 is: 284,404.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,172.19 : 521,877.71 = 206,090.19 : x
  2. Step 2: Convert to fraction form
    378,172.19/521,877.71 = 206,090.19/x
  3. Step 3: Cross multiply
    378,172.19x = 521,877.71 × 206,090.19
  4. Step 4: Simplify right side
    378,172.19x = 107,553,876,925.89
  5. Step 5: Solve for x
    x = 107,553,876,925.89/378,172.19
  6. Step 6: Final answer
    x = 284,404.51

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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.