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Finding the Fourth Proportional to 666,086.99, 999,458.53 and 311,049.41

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Solution

The fourth proportional to 666,086.99, 999,458.53 and 311,049.41 is: 466,727.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,086.99 : 999,458.53 = 311,049.41 : x
  2. Step 2: Convert to fraction form
    666,086.99/999,458.53 = 311,049.41/x
  3. Step 3: Cross multiply
    666,086.99x = 999,458.53 × 311,049.41
  4. Step 4: Simplify right side
    666,086.99x = 310,880,980,301.05
  5. Step 5: Solve for x
    x = 310,880,980,301.05/666,086.99
  6. Step 6: Final answer
    x = 466,727.30

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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.