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Finding the Fourth Proportional to 278,323.23, 417,501.71 and 78,658.56

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Solution

The fourth proportional to 278,323.23, 417,501.71 and 78,658.56 is: 117,992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,323.23 : 417,501.71 = 78,658.56 : x
  2. Step 2: Convert to fraction form
    278,323.23/417,501.71 = 78,658.56/x
  3. Step 3: Cross multiply
    278,323.23x = 417,501.71 × 78,658.56
  4. Step 4: Simplify right side
    278,323.23x = 32,840,082,912.84
  5. Step 5: Solve for x
    x = 32,840,082,912.84/278,323.23
  6. Step 6: Final answer
    x = 117,992.60

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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.