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Finding the Fourth Proportional to 378,197.40, 521,905.32 and 206,116.68

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Solution

The fourth proportional to 378,197.40, 521,905.32 and 206,116.68 is: 284,437.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,197.40 : 521,905.32 = 206,116.68 : x
  2. Step 2: Convert to fraction form
    378,197.40/521,905.32 = 206,116.68/x
  3. Step 3: Cross multiply
    378,197.40x = 521,905.32 × 206,116.68
  4. Step 4: Simplify right side
    378,197.40x = 107,573,391,832.74
  5. Step 5: Solve for x
    x = 107,573,391,832.74/378,197.40
  6. Step 6: Final answer
    x = 284,437.15

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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.