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Finding the Fourth Proportional to 299,364.28, 449,118.16 and 99,686.46

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Solution

The fourth proportional to 299,364.28, 449,118.16 and 99,686.46 is: 149,553.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,364.28 : 449,118.16 = 99,686.46 : x
  2. Step 2: Convert to fraction form
    299,364.28/449,118.16 = 99,686.46/x
  3. Step 3: Cross multiply
    299,364.28x = 449,118.16 × 99,686.46
  4. Step 4: Simplify right side
    299,364.28x = 44,770,999,492.11
  5. Step 5: Solve for x
    x = 44,770,999,492.11/299,364.28
  6. Step 6: Final answer
    x = 149,553.58

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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.