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Finding the Fourth Proportional to 198,954.72, 298,056.48 and 154,053.16

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Solution

The fourth proportional to 198,954.72, 298,056.48 and 154,053.16 is: 230,788.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,954.72 : 298,056.48 = 154,053.16 : x
  2. Step 2: Convert to fraction form
    198,954.72/298,056.48 = 154,053.16/x
  3. Step 3: Cross multiply
    198,954.72x = 298,056.48 × 154,053.16
  4. Step 4: Simplify right side
    198,954.72x = 45,916,542,602.48
  5. Step 5: Solve for x
    x = 45,916,542,602.48/198,954.72
  6. Step 6: Final answer
    x = 230,788.91

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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.