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Finding the Fourth Proportional to 408,468, 612,736.56 and 112,980

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Solution

The fourth proportional to 408,468, 612,736.56 and 112,980 is: 169,479.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,468 : 612,736.56 = 112,980 : x
  2. Step 2: Convert to fraction form
    408,468/612,736.56 = 112,980/x
  3. Step 3: Cross multiply
    408,468x = 612,736.56 × 112,980
  4. Step 4: Simplify right side
    408,468x = 69,226,976,548.80
  5. Step 5: Solve for x
    x = 69,226,976,548.80/408,468
  6. Step 6: Final answer
    x = 169,479.56

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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.