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Finding the Fourth Proportional to 305,829.57, 422,044.82 and 171,693.57

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Solution

The fourth proportional to 305,829.57, 422,044.82 and 171,693.57 is: 236,937.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,829.57 : 422,044.82 = 171,693.57 : x
  2. Step 2: Convert to fraction form
    305,829.57/422,044.82 = 171,693.57/x
  3. Step 3: Cross multiply
    305,829.57x = 422,044.82 × 171,693.57
  4. Step 4: Simplify right side
    305,829.57x = 72,462,380,987.34
  5. Step 5: Solve for x
    x = 72,462,380,987.34/305,829.57
  6. Step 6: Final answer
    x = 236,937.13

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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.