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Finding the Fourth Proportional to 299,712.12, 449,789.40 and 141,940.32

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Solution

The fourth proportional to 299,712.12, 449,789.40 and 141,940.32 is: 213,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,712.12 : 449,789.40 = 141,940.32 : x
  2. Step 2: Convert to fraction form
    299,712.12/449,789.40 = 141,940.32/x
  3. Step 3: Cross multiply
    299,712.12x = 449,789.40 × 141,940.32
  4. Step 4: Simplify right side
    299,712.12x = 63,843,251,368.61
  5. Step 5: Solve for x
    x = 63,843,251,368.61/299,712.12
  6. Step 6: Final answer
    x = 213,015.25

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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.