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Finding the Fourth Proportional to 343,698.48, 515,480.97 and 172,874.64

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Solution

The fourth proportional to 343,698.48, 515,480.97 and 172,874.64 is: 259,278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,698.48 : 515,480.97 = 172,874.64 : x
  2. Step 2: Convert to fraction form
    343,698.48/515,480.97 = 172,874.64/x
  3. Step 3: Cross multiply
    343,698.48x = 515,480.97 × 172,874.64
  4. Step 4: Simplify right side
    343,698.48x = 89,113,587,115.60
  5. Step 5: Solve for x
    x = 89,113,587,115.60/343,698.48
  6. Step 6: Final answer
    x = 259,278.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.