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Finding the Fourth Proportional to 299,456, 449,258.16 and 89,093.28

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Solution

The fourth proportional to 299,456, 449,258.16 and 89,093.28 is: 133,661.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,456 : 449,258.16 = 89,093.28 : x
  2. Step 2: Convert to fraction form
    299,456/449,258.16 = 89,093.28/x
  3. Step 3: Cross multiply
    299,456x = 449,258.16 × 89,093.28
  4. Step 4: Simplify right side
    299,456x = 40,025,883,041.16
  5. Step 5: Solve for x
    x = 40,025,883,041.16/299,456
  6. Step 6: Final answer
    x = 133,661.98

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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.