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Finding the Fourth Proportional to 666,846.72, 999,786.24 and 311,662.08

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Solution

The fourth proportional to 666,846.72, 999,786.24 and 311,662.08 is: 467,266.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,846.72 : 999,786.24 = 311,662.08 : x
  2. Step 2: Convert to fraction form
    666,846.72/999,786.24 = 311,662.08/x
  3. Step 3: Cross multiply
    666,846.72x = 999,786.24 × 311,662.08
  4. Step 4: Simplify right side
    666,846.72x = 311,595,459,113.78
  5. Step 5: Solve for x
    x = 311,595,459,113.78/666,846.72
  6. Step 6: Final answer
    x = 467,266.99

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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.