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Finding the Fourth Proportional to 246,412, 340,029 and 138,947.68

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Solution

The fourth proportional to 246,412, 340,029 and 138,947.68 is: 191,736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,412 : 340,029 = 138,947.68 : x
  2. Step 2: Convert to fraction form
    246,412/340,029 = 138,947.68/x
  3. Step 3: Cross multiply
    246,412x = 340,029 × 138,947.68
  4. Step 4: Simplify right side
    246,412x = 47,246,240,682.72
  5. Step 5: Solve for x
    x = 47,246,240,682.72/246,412
  6. Step 6: Final answer
    x = 191,736.77

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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.