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Finding the Fourth Proportional to 299,832.48, 449,969.76 and 142,060.32

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Solution

The fourth proportional to 299,832.48, 449,969.76 and 142,060.32 is: 213,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,832.48 : 449,969.76 = 142,060.32 : x
  2. Step 2: Convert to fraction form
    299,832.48/449,969.76 = 142,060.32/x
  3. Step 3: Cross multiply
    299,832.48x = 449,969.76 × 142,060.32
  4. Step 4: Simplify right side
    299,832.48x = 63,922,848,095.92
  5. Step 5: Solve for x
    x = 63,922,848,095.92/299,832.48
  6. Step 6: Final answer
    x = 213,195.21

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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.