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Finding the Fourth Proportional to 661,408.81, 992,006.97 and 181,524.58

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Solution

The fourth proportional to 661,408.81, 992,006.97 and 181,524.58 is: 272,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,408.81 : 992,006.97 = 181,524.58 : x
  2. Step 2: Convert to fraction form
    661,408.81/992,006.97 = 181,524.58/x
  3. Step 3: Cross multiply
    661,408.81x = 992,006.97 × 181,524.58
  4. Step 4: Simplify right side
    661,408.81x = 180,073,648,586.32
  5. Step 5: Solve for x
    x = 180,073,648,586.32/661,408.81
  6. Step 6: Final answer
    x = 272,257.71

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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.