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Finding the Fourth Proportional to 447,201.92, 670,802.88 and 131,658.86

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Solution

The fourth proportional to 447,201.92, 670,802.88 and 131,658.86 is: 197,488.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,201.92 : 670,802.88 = 131,658.86 : x
  2. Step 2: Convert to fraction form
    447,201.92/670,802.88 = 131,658.86/x
  3. Step 3: Cross multiply
    447,201.92x = 670,802.88 × 131,658.86
  4. Step 4: Simplify right side
    447,201.92x = 88,317,142,465.52
  5. Step 5: Solve for x
    x = 88,317,142,465.52/447,201.92
  6. Step 6: Final answer
    x = 197,488.29

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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.