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Finding the Fourth Proportional to 399,063.36, 550,719.10 and 217,786.93

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Solution

The fourth proportional to 399,063.36, 550,719.10 and 217,786.93 is: 300,552.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,063.36 : 550,719.10 = 217,786.93 : x
  2. Step 2: Convert to fraction form
    399,063.36/550,719.10 = 217,786.93/x
  3. Step 3: Cross multiply
    399,063.36x = 550,719.10 × 217,786.93
  4. Step 4: Simplify right side
    399,063.36x = 119,939,420,976.80
  5. Step 5: Solve for x
    x = 119,939,420,976.80/399,063.36
  6. Step 6: Final answer
    x = 300,552.33

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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.