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Finding the Fourth Proportional to 378,108.90, 521,784.14 and 206,029.16

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Solution

The fourth proportional to 378,108.90, 521,784.14 and 206,029.16 is: 284,316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,108.90 : 521,784.14 = 206,029.16 : x
  2. Step 2: Convert to fraction form
    378,108.90/521,784.14 = 206,029.16/x
  3. Step 3: Cross multiply
    378,108.90x = 521,784.14 × 206,029.16
  4. Step 4: Simplify right side
    378,108.90x = 107,502,748,065.52
  5. Step 5: Solve for x
    x = 107,502,748,065.52/378,108.90
  6. Step 6: Final answer
    x = 284,316.89

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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.