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Finding the Fourth Proportional to 305,827.70, 422,042.22 and 171,691.70

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Solution

The fourth proportional to 305,827.70, 422,042.22 and 171,691.70 is: 236,934.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,827.70 : 422,042.22 = 171,691.70 : x
  2. Step 2: Convert to fraction form
    305,827.70/422,042.22 = 171,691.70/x
  3. Step 3: Cross multiply
    305,827.70x = 422,042.22 × 171,691.70
  4. Step 4: Simplify right side
    305,827.70x = 72,461,144,113.36
  5. Step 5: Solve for x
    x = 72,461,144,113.36/305,827.70
  6. Step 6: Final answer
    x = 236,934.54

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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.