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Finding the Fourth Proportional to 440,235, 660,354.12 and 107,811

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Solution

The fourth proportional to 440,235, 660,354.12 and 107,811 is: 161,716.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,235 : 660,354.12 = 107,811 : x
  2. Step 2: Convert to fraction form
    440,235/660,354.12 = 107,811/x
  3. Step 3: Cross multiply
    440,235x = 660,354.12 × 107,811
  4. Step 4: Simplify right side
    440,235x = 71,193,438,031.32
  5. Step 5: Solve for x
    x = 71,193,438,031.32/440,235
  6. Step 6: Final answer
    x = 161,716.90

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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.