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Finding the Fourth Proportional to 361,188.25, 498,438.54 and 208,225.71

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Solution

The fourth proportional to 361,188.25, 498,438.54 and 208,225.71 is: 287,350.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,188.25 : 498,438.54 = 208,225.71 : x
  2. Step 2: Convert to fraction form
    361,188.25/498,438.54 = 208,225.71/x
  3. Step 3: Cross multiply
    361,188.25x = 498,438.54 × 208,225.71
  4. Step 4: Simplify right side
    361,188.25x = 103,787,718,882.86
  5. Step 5: Solve for x
    x = 103,787,718,882.86/361,188.25
  6. Step 6: Final answer
    x = 287,350.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.