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Finding the Fourth Proportional to 299,759.32, 449,860.72 and 141,988.13

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Solution

The fourth proportional to 299,759.32, 449,860.72 and 141,988.13 is: 213,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,759.32 : 449,860.72 = 141,988.13 : x
  2. Step 2: Convert to fraction form
    299,759.32/449,860.72 = 141,988.13/x
  3. Step 3: Cross multiply
    299,759.32x = 449,860.72 × 141,988.13
  4. Step 4: Simplify right side
    299,759.32x = 63,874,882,393.25
  5. Step 5: Solve for x
    x = 63,874,882,393.25/299,759.32
  6. Step 6: Final answer
    x = 213,087.23

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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.