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Finding the Fourth Proportional to 278,286.54, 417,395.79 and 118,426.87

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Solution

The fourth proportional to 278,286.54, 417,395.79 and 118,426.87 is: 177,625.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,286.54 : 417,395.79 = 118,426.87 : x
  2. Step 2: Convert to fraction form
    278,286.54/417,395.79 = 118,426.87/x
  3. Step 3: Cross multiply
    278,286.54x = 417,395.79 × 118,426.87
  4. Step 4: Simplify right side
    278,286.54x = 49,430,874,281.76
  5. Step 5: Solve for x
    x = 49,430,874,281.76/278,286.54
  6. Step 6: Final answer
    x = 177,625.82

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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.