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Finding the Fourth Proportional to 419,506.92, 628,927.74 and 219,789

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Solution

The fourth proportional to 419,506.92, 628,927.74 and 219,789 is: 329,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,506.92 : 628,927.74 = 219,789 : x
  2. Step 2: Convert to fraction form
    419,506.92/628,927.74 = 219,789/x
  3. Step 3: Cross multiply
    419,506.92x = 628,927.74 × 219,789
  4. Step 4: Simplify right side
    419,506.92x = 138,231,399,046.86
  5. Step 5: Solve for x
    x = 138,231,399,046.86/419,506.92
  6. Step 6: Final answer
    x = 329,509.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.