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Finding the Fourth Proportional to 278,374.94, 417,558.78 and 68,014.70

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Solution

The fourth proportional to 278,374.94, 417,558.78 and 68,014.70 is: 102,021.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,374.94 : 417,558.78 = 68,014.70 : x
  2. Step 2: Convert to fraction form
    278,374.94/417,558.78 = 68,014.70/x
  3. Step 3: Cross multiply
    278,374.94x = 417,558.78 × 68,014.70
  4. Step 4: Simplify right side
    278,374.94x = 28,400,135,154.07
  5. Step 5: Solve for x
    x = 28,400,135,154.07/278,374.94
  6. Step 6: Final answer
    x = 102,021.16

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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.