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Finding the Fourth Proportional to 356,558.92, 491,767.86 and 303,021.16

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Solution

The fourth proportional to 356,558.92, 491,767.86 and 303,021.16 is: 417,928.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,558.92 : 491,767.86 = 303,021.16 : x
  2. Step 2: Convert to fraction form
    356,558.92/491,767.86 = 303,021.16/x
  3. Step 3: Cross multiply
    356,558.92x = 491,767.86 × 303,021.16
  4. Step 4: Simplify right side
    356,558.92x = 149,016,067,387.92
  5. Step 5: Solve for x
    x = 149,016,067,387.92/356,558.92
  6. Step 6: Final answer
    x = 417,928.31

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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.