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Finding the Fourth Proportional to 299,489.36, 449,253.60 and 89,109.68

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Solution

The fourth proportional to 299,489.36, 449,253.60 and 89,109.68 is: 133,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,489.36 : 449,253.60 = 89,109.68 : x
  2. Step 2: Convert to fraction form
    299,489.36/449,253.60 = 89,109.68/x
  3. Step 3: Cross multiply
    299,489.36x = 449,253.60 × 89,109.68
  4. Step 4: Simplify right side
    299,489.36x = 40,032,844,534.85
  5. Step 5: Solve for x
    x = 40,032,844,534.85/299,489.36
  6. Step 6: Final answer
    x = 133,670.34

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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.