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Finding the Fourth Proportional to 248,846, 343,407.48 and 159,422

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Solution

The fourth proportional to 248,846, 343,407.48 and 159,422 is: 220,002.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,846 : 343,407.48 = 159,422 : x
  2. Step 2: Convert to fraction form
    248,846/343,407.48 = 159,422/x
  3. Step 3: Cross multiply
    248,846x = 343,407.48 × 159,422
  4. Step 4: Simplify right side
    248,846x = 54,746,707,276.56
  5. Step 5: Solve for x
    x = 54,746,707,276.56/248,846
  6. Step 6: Final answer
    x = 220,002.36

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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.