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Finding the Fourth Proportional to 399,550.72, 599,325 and 329,146.96

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Solution

The fourth proportional to 399,550.72, 599,325 and 329,146.96 is: 493,719.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,550.72 : 599,325 = 329,146.96 : x
  2. Step 2: Convert to fraction form
    399,550.72/599,325 = 329,146.96/x
  3. Step 3: Cross multiply
    399,550.72x = 599,325 × 329,146.96
  4. Step 4: Simplify right side
    399,550.72x = 197,266,001,802
  5. Step 5: Solve for x
    x = 197,266,001,802/399,550.72
  6. Step 6: Final answer
    x = 493,719.55

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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.