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Finding the Fourth Proportional to 343,489.57, 474,249.39 and 214,478.44

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Solution

The fourth proportional to 343,489.57, 474,249.39 and 214,478.44 is: 296,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,489.57 : 474,249.39 = 214,478.44 : x
  2. Step 2: Convert to fraction form
    343,489.57/474,249.39 = 214,478.44/x
  3. Step 3: Cross multiply
    343,489.57x = 474,249.39 × 214,478.44
  4. Step 4: Simplify right side
    343,489.57x = 101,716,269,338.15
  5. Step 5: Solve for x
    x = 101,716,269,338.15/343,489.57
  6. Step 6: Final answer
    x = 296,126.22

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1.5x scale

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.