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Finding the Fourth Proportional to 299,860.34, 449,724.19 and 86,581.98

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Solution

The fourth proportional to 299,860.34, 449,724.19 and 86,581.98 is: 129,853.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,860.34 : 449,724.19 = 86,581.98 : x
  2. Step 2: Convert to fraction form
    299,860.34/449,724.19 = 86,581.98/x
  3. Step 3: Cross multiply
    299,860.34x = 449,724.19 × 86,581.98
  4. Step 4: Simplify right side
    299,860.34x = 38,938,008,575.48
  5. Step 5: Solve for x
    x = 38,938,008,575.48/299,860.34
  6. Step 6: Final answer
    x = 129,853.81

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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.