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Finding the Fourth Proportional to 307,151.86, 423,871.68 and 171,194.57

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Solution

The fourth proportional to 307,151.86, 423,871.68 and 171,194.57 is: 236,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,151.86 : 423,871.68 = 171,194.57 : x
  2. Step 2: Convert to fraction form
    307,151.86/423,871.68 = 171,194.57/x
  3. Step 3: Cross multiply
    307,151.86x = 423,871.68 × 171,194.57
  4. Step 4: Simplify right side
    307,151.86x = 72,564,529,992.78
  5. Step 5: Solve for x
    x = 72,564,529,992.78/307,151.86
  6. Step 6: Final answer
    x = 236,249.68

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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.