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Finding the Fourth Proportional to 361,081.60, 498,309.71 and 217,838.57

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Solution

The fourth proportional to 361,081.60, 498,309.71 and 217,838.57 is: 300,627.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,081.60 : 498,309.71 = 217,838.57 : x
  2. Step 2: Convert to fraction form
    361,081.60/498,309.71 = 217,838.57/x
  3. Step 3: Cross multiply
    361,081.60x = 498,309.71 × 217,838.57
  4. Step 4: Simplify right side
    361,081.60x = 108,551,071,062.77
  5. Step 5: Solve for x
    x = 108,551,071,062.77/361,081.60
  6. Step 6: Final answer
    x = 300,627.54

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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.