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Finding the Fourth Proportional to 278,382.54, 417,573.81 and 68,020.14

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Solution

The fourth proportional to 278,382.54, 417,573.81 and 68,020.14 is: 102,030.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,382.54 : 417,573.81 = 68,020.14 : x
  2. Step 2: Convert to fraction form
    278,382.54/417,573.81 = 68,020.14/x
  3. Step 3: Cross multiply
    278,382.54x = 417,573.81 × 68,020.14
  4. Step 4: Simplify right side
    278,382.54x = 28,403,429,016.53
  5. Step 5: Solve for x
    x = 28,403,429,016.53/278,382.54
  6. Step 6: Final answer
    x = 102,030.21

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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.