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Finding the Fourth Proportional to 343,786, 515,886.38 and 146,794

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Solution

The fourth proportional to 343,786, 515,886.38 and 146,794 is: 220,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,786 : 515,886.38 = 146,794 : x
  2. Step 2: Convert to fraction form
    343,786/515,886.38 = 146,794/x
  3. Step 3: Cross multiply
    343,786x = 515,886.38 × 146,794
  4. Step 4: Simplify right side
    343,786x = 75,729,025,265.72
  5. Step 5: Solve for x
    x = 75,729,025,265.72/343,786
  6. Step 6: Final answer
    x = 220,279.55

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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.