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Finding the Fourth Proportional to 356,909.78, 492,579.24 and 206,006.78

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Solution

The fourth proportional to 356,909.78, 492,579.24 and 206,006.78 is: 284,314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,909.78 : 492,579.24 = 206,006.78 : x
  2. Step 2: Convert to fraction form
    356,909.78/492,579.24 = 206,006.78/x
  3. Step 3: Cross multiply
    356,909.78x = 492,579.24 × 206,006.78
  4. Step 4: Simplify right side
    356,909.78x = 101,474,663,127.25
  5. Step 5: Solve for x
    x = 101,474,663,127.25/356,909.78
  6. Step 6: Final answer
    x = 284,314.61

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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.