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Finding the Fourth Proportional to 302,542.49, 417,637.85 and 215,383.86

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Solution

The fourth proportional to 302,542.49, 417,637.85 and 215,383.86 is: 297,321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,542.49 : 417,637.85 = 215,383.86 : x
  2. Step 2: Convert to fraction form
    302,542.49/417,637.85 = 215,383.86/x
  3. Step 3: Cross multiply
    302,542.49x = 417,637.85 × 215,383.86
  4. Step 4: Simplify right side
    302,542.49x = 89,952,451,138.18
  5. Step 5: Solve for x
    x = 89,952,451,138.18/302,542.49
  6. Step 6: Final answer
    x = 297,321.71

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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.