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Finding the Fourth Proportional to 278,093.15, 416,662.96 and 186,737.30

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Solution

The fourth proportional to 278,093.15, 416,662.96 and 186,737.30 is: 279,785.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,093.15 : 416,662.96 = 186,737.30 : x
  2. Step 2: Convert to fraction form
    278,093.15/416,662.96 = 186,737.30/x
  3. Step 3: Cross multiply
    278,093.15x = 416,662.96 × 186,737.30
  4. Step 4: Simplify right side
    278,093.15x = 77,806,516,160.41
  5. Step 5: Solve for x
    x = 77,806,516,160.41/278,093.15
  6. Step 6: Final answer
    x = 279,785.81

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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.