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Finding the Fourth Proportional to 338,694.92, 508,056.42 and 138,874.40

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Solution

The fourth proportional to 338,694.92, 508,056.42 and 138,874.40 is: 208,317.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,694.92 : 508,056.42 = 138,874.40 : x
  2. Step 2: Convert to fraction form
    338,694.92/508,056.42 = 138,874.40/x
  3. Step 3: Cross multiply
    338,694.92x = 508,056.42 × 138,874.40
  4. Step 4: Simplify right side
    338,694.92x = 70,556,030,493.65
  5. Step 5: Solve for x
    x = 70,556,030,493.65/338,694.92
  6. Step 6: Final answer
    x = 208,317.36

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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.