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Finding the Fourth Proportional to 307,354.92, 424,147.96 and 171,390.48

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Solution

The fourth proportional to 307,354.92, 424,147.96 and 171,390.48 is: 236,517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,354.92 : 424,147.96 = 171,390.48 : x
  2. Step 2: Convert to fraction form
    307,354.92/424,147.96 = 171,390.48/x
  3. Step 3: Cross multiply
    307,354.92x = 424,147.96 × 171,390.48
  4. Step 4: Simplify right side
    307,354.92x = 72,694,922,455.42
  5. Step 5: Solve for x
    x = 72,694,922,455.42/307,354.92
  6. Step 6: Final answer
    x = 236,517.84

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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.