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Finding the Fourth Proportional to 307,418.39, 424,247.93 and 178,347.12

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Solution

The fourth proportional to 307,418.39, 424,247.93 and 178,347.12 is: 246,125.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,418.39 : 424,247.93 = 178,347.12 : x
  2. Step 2: Convert to fraction form
    307,418.39/424,247.93 = 178,347.12/x
  3. Step 3: Cross multiply
    307,418.39x = 424,247.93 × 178,347.12
  4. Step 4: Simplify right side
    307,418.39x = 75,663,394,667.60
  5. Step 5: Solve for x
    x = 75,663,394,667.60/307,418.39
  6. Step 6: Final answer
    x = 246,125.14

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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.