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Finding the Fourth Proportional to 457,379.48, 686,006.94 and 120,391.91

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Solution

The fourth proportional to 457,379.48, 686,006.94 and 120,391.91 is: 180,571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,379.48 : 686,006.94 = 120,391.91 : x
  2. Step 2: Convert to fraction form
    457,379.48/686,006.94 = 120,391.91/x
  3. Step 3: Cross multiply
    457,379.48x = 686,006.94 × 120,391.91
  4. Step 4: Simplify right side
    457,379.48x = 82,589,685,177.90
  5. Step 5: Solve for x
    x = 82,589,685,177.90/457,379.48
  6. Step 6: Final answer
    x = 180,571.47

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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.