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Finding the Fourth Proportional to 307,419.39, 424,249.31 and 178,348.12

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Solution

The fourth proportional to 307,419.39, 424,249.31 and 178,348.12 is: 246,126.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,419.39 : 424,249.31 = 178,348.12 : x
  2. Step 2: Convert to fraction form
    307,419.39/424,249.31 = 178,348.12/x
  3. Step 3: Cross multiply
    307,419.39x = 424,249.31 × 178,348.12
  4. Step 4: Simplify right side
    307,419.39x = 75,664,066,849.80
  5. Step 5: Solve for x
    x = 75,664,066,849.80/307,419.39
  6. Step 6: Final answer
    x = 246,126.53

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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.