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Finding the Fourth Proportional to 270,572.42, 405,921.79 and 78,450.87

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Solution

The fourth proportional to 270,572.42, 405,921.79 and 78,450.87 is: 117,694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,572.42 : 405,921.79 = 78,450.87 : x
  2. Step 2: Convert to fraction form
    270,572.42/405,921.79 = 78,450.87/x
  3. Step 3: Cross multiply
    270,572.42x = 405,921.79 × 78,450.87
  4. Step 4: Simplify right side
    270,572.42x = 31,844,915,935.84
  5. Step 5: Solve for x
    x = 31,844,915,935.84/270,572.42
  6. Step 6: Final answer
    x = 117,694.61

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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.