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Finding the Fourth Proportional to 281,198.46, 388,053.80 and 153,874.02

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Solution

The fourth proportional to 281,198.46, 388,053.80 and 153,874.02 is: 212,346.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,198.46 : 388,053.80 = 153,874.02 : x
  2. Step 2: Convert to fraction form
    281,198.46/388,053.80 = 153,874.02/x
  3. Step 3: Cross multiply
    281,198.46x = 388,053.80 × 153,874.02
  4. Step 4: Simplify right side
    281,198.46x = 59,711,398,182.28
  5. Step 5: Solve for x
    x = 59,711,398,182.28/281,198.46
  6. Step 6: Final answer
    x = 212,346.11

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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.