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Finding the Fourth Proportional to 342,219.80, 472,249.64 and 189,247.93

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Solution

The fourth proportional to 342,219.80, 472,249.64 and 189,247.93 is: 261,154.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,219.80 : 472,249.64 = 189,247.93 : x
  2. Step 2: Convert to fraction form
    342,219.80/472,249.64 = 189,247.93/x
  3. Step 3: Cross multiply
    342,219.80x = 472,249.64 × 189,247.93
  4. Step 4: Simplify right side
    342,219.80x = 89,372,266,105.74
  5. Step 5: Solve for x
    x = 89,372,266,105.74/342,219.80
  6. Step 6: Final answer
    x = 261,154.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.