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Finding the Fourth Proportional to 281,198.46, 388,053.90 and 153,874.07

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Solution

The fourth proportional to 281,198.46, 388,053.90 and 153,874.07 is: 212,346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,198.46 : 388,053.90 = 153,874.07 : x
  2. Step 2: Convert to fraction form
    281,198.46/388,053.90 = 153,874.07/x
  3. Step 3: Cross multiply
    281,198.46x = 388,053.90 × 153,874.07
  4. Step 4: Simplify right side
    281,198.46x = 59,711,431,032.10
  5. Step 5: Solve for x
    x = 59,711,431,032.10/281,198.46
  6. Step 6: Final answer
    x = 212,346.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.