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Finding the Fourth Proportional to 353,950.94, 488,436.53 and 206,789.45

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Solution

The fourth proportional to 353,950.94, 488,436.53 and 206,789.45 is: 285,360.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,950.94 : 488,436.53 = 206,789.45 : x
  2. Step 2: Convert to fraction form
    353,950.94/488,436.53 = 206,789.45/x
  3. Step 3: Cross multiply
    353,950.94x = 488,436.53 × 206,789.45
  4. Step 4: Simplify right side
    353,950.94x = 101,003,517,922.48
  5. Step 5: Solve for x
    x = 101,003,517,922.48/353,950.94
  6. Step 6: Final answer
    x = 285,360.22

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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.