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Finding the Fourth Proportional to 353,950.29, 488,435.63 and 206,788.78

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Solution

The fourth proportional to 353,950.29, 488,435.63 and 206,788.78 is: 285,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,950.29 : 488,435.63 = 206,788.78 : x
  2. Step 2: Convert to fraction form
    353,950.29/488,435.63 = 206,788.78/x
  3. Step 3: Cross multiply
    353,950.29x = 488,435.63 × 206,788.78
  4. Step 4: Simplify right side
    353,950.29x = 101,003,008,036.23
  5. Step 5: Solve for x
    x = 101,003,008,036.23/353,950.29
  6. Step 6: Final answer
    x = 285,359.30

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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.