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Finding the Fourth Proportional to 399,150.12, 550,832.34 and 235,812

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Solution

The fourth proportional to 399,150.12, 550,832.34 and 235,812 is: 325,423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,150.12 : 550,832.34 = 235,812 : x
  2. Step 2: Convert to fraction form
    399,150.12/550,832.34 = 235,812/x
  3. Step 3: Cross multiply
    399,150.12x = 550,832.34 × 235,812
  4. Step 4: Simplify right side
    399,150.12x = 129,892,875,760.08
  5. Step 5: Solve for x
    x = 129,892,875,760.08/399,150.12
  6. Step 6: Final answer
    x = 325,423.62

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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.