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Finding the Fourth Proportional to 299,417.78, 449,134.88 and 99,731.05

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Solution

The fourth proportional to 299,417.78, 449,134.88 and 99,731.05 is: 149,599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,417.78 : 449,134.88 = 99,731.05 : x
  2. Step 2: Convert to fraction form
    299,417.78/449,134.88 = 99,731.05/x
  3. Step 3: Cross multiply
    299,417.78x = 449,134.88 × 99,731.05
  4. Step 4: Simplify right side
    299,417.78x = 44,792,691,552.53
  5. Step 5: Solve for x
    x = 44,792,691,552.53/299,417.78
  6. Step 6: Final answer
    x = 149,599.30

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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.