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Finding the Fourth Proportional to 439,901.76, 659,864.11 and 140,381.94

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Solution

The fourth proportional to 439,901.76, 659,864.11 and 140,381.94 is: 210,576.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,901.76 : 659,864.11 = 140,381.94 : x
  2. Step 2: Convert to fraction form
    439,901.76/659,864.11 = 140,381.94/x
  3. Step 3: Cross multiply
    439,901.76x = 659,864.11 × 140,381.94
  4. Step 4: Simplify right side
    439,901.76x = 92,632,999,896.94
  5. Step 5: Solve for x
    x = 92,632,999,896.94/439,901.76
  6. Step 6: Final answer
    x = 210,576.56

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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.