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Finding the Fourth Proportional to 270,719.75, 405,942.94 and 158,433.71

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Solution

The fourth proportional to 270,719.75, 405,942.94 and 158,433.71 is: 237,570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,719.75 : 405,942.94 = 158,433.71 : x
  2. Step 2: Convert to fraction form
    270,719.75/405,942.94 = 158,433.71/x
  3. Step 3: Cross multiply
    270,719.75x = 405,942.94 × 158,433.71
  4. Step 4: Simplify right side
    270,719.75x = 64,315,044,200.83
  5. Step 5: Solve for x
    x = 64,315,044,200.83/270,719.75
  6. Step 6: Final answer
    x = 237,570.56

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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.