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Finding the Fourth Proportional to 281,287.14, 388,179.90 and 153,960

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Solution

The fourth proportional to 281,287.14, 388,179.90 and 153,960 is: 212,466.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,287.14 : 388,179.90 = 153,960 : x
  2. Step 2: Convert to fraction form
    281,287.14/388,179.90 = 153,960/x
  3. Step 3: Cross multiply
    281,287.14x = 388,179.90 × 153,960
  4. Step 4: Simplify right side
    281,287.14x = 59,764,177,404
  5. Step 5: Solve for x
    x = 59,764,177,404/281,287.14
  6. Step 6: Final answer
    x = 212,466.80

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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.