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Finding the Fourth Proportional to 378,137.16, 521,822.59 and 206,056.64

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Solution

The fourth proportional to 378,137.16, 521,822.59 and 206,056.64 is: 284,354.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,137.16 : 521,822.59 = 206,056.64 : x
  2. Step 2: Convert to fraction form
    378,137.16/521,822.59 = 206,056.64/x
  3. Step 3: Cross multiply
    378,137.16x = 521,822.59 × 206,056.64
  4. Step 4: Simplify right side
    378,137.16x = 107,525,010,360.91
  5. Step 5: Solve for x
    x = 107,525,010,360.91/378,137.16
  6. Step 6: Final answer
    x = 284,354.52

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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.