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Finding the Fourth Proportional to 304,930.80, 457,396.20 and 138,718.80

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Solution

The fourth proportional to 304,930.80, 457,396.20 and 138,718.80 is: 208,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,930.80 : 457,396.20 = 138,718.80 : x
  2. Step 2: Convert to fraction form
    304,930.80/457,396.20 = 138,718.80/x
  3. Step 3: Cross multiply
    304,930.80x = 457,396.20 × 138,718.80
  4. Step 4: Simplify right side
    304,930.80x = 63,449,451,988.56
  5. Step 5: Solve for x
    x = 63,449,451,988.56/304,930.80
  6. Step 6: Final answer
    x = 208,078.20

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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.