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Finding the Fourth Proportional to 338,823.44, 508,235.16 and 139,109.84

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Solution

The fourth proportional to 338,823.44, 508,235.16 and 139,109.84 is: 208,664.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,823.44 : 508,235.16 = 139,109.84 : x
  2. Step 2: Convert to fraction form
    338,823.44/508,235.16 = 139,109.84/x
  3. Step 3: Cross multiply
    338,823.44x = 508,235.16 × 139,109.84
  4. Step 4: Simplify right side
    338,823.44x = 70,700,511,789.97
  5. Step 5: Solve for x
    x = 70,700,511,789.97/338,823.44
  6. Step 6: Final answer
    x = 208,664.76

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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.