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Finding the Fourth Proportional to 278,586.39, 417,871.59 and 78,906.41

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Solution

The fourth proportional to 278,586.39, 417,871.59 and 78,906.41 is: 118,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,586.39 : 417,871.59 = 78,906.41 : x
  2. Step 2: Convert to fraction form
    278,586.39/417,871.59 = 78,906.41/x
  3. Step 3: Cross multiply
    278,586.39x = 417,871.59 × 78,906.41
  4. Step 4: Simplify right side
    278,586.39x = 32,972,747,007.89
  5. Step 5: Solve for x
    x = 32,972,747,007.89/278,586.39
  6. Step 6: Final answer
    x = 118,357.35

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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.