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Finding the Fourth Proportional to 284,314.55, 426,619.42 and 115,958.39

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Solution

The fourth proportional to 284,314.55, 426,619.42 and 115,958.39 is: 173,997.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,314.55 : 426,619.42 = 115,958.39 : x
  2. Step 2: Convert to fraction form
    284,314.55/426,619.42 = 115,958.39/x
  3. Step 3: Cross multiply
    284,314.55x = 426,619.42 × 115,958.39
  4. Step 4: Simplify right side
    284,314.55x = 49,470,101,085.93
  5. Step 5: Solve for x
    x = 49,470,101,085.93/284,314.55
  6. Step 6: Final answer
    x = 173,997.78

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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.