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Finding the Fourth Proportional to 338,491.82, 508,079.44 and 149,036.58

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Solution

The fourth proportional to 338,491.82, 508,079.44 and 149,036.58 is: 223,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,491.82 : 508,079.44 = 149,036.58 : x
  2. Step 2: Convert to fraction form
    338,491.82/508,079.44 = 149,036.58/x
  3. Step 3: Cross multiply
    338,491.82x = 508,079.44 × 149,036.58
  4. Step 4: Simplify right side
    338,491.82x = 75,722,422,105.92
  5. Step 5: Solve for x
    x = 75,722,422,105.92/338,491.82
  6. Step 6: Final answer
    x = 223,705.32

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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.