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Finding the Fourth Proportional to 299,490.30, 449,083.72 and 99,740.65

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Solution

The fourth proportional to 299,490.30, 449,083.72 and 99,740.65 is: 149,560.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,490.30 : 449,083.72 = 99,740.65 : x
  2. Step 2: Convert to fraction form
    299,490.30/449,083.72 = 99,740.65/x
  3. Step 3: Cross multiply
    299,490.30x = 449,083.72 × 99,740.65
  4. Step 4: Simplify right side
    299,490.30x = 44,791,902,137.22
  5. Step 5: Solve for x
    x = 44,791,902,137.22/299,490.30
  6. Step 6: Final answer
    x = 149,560.44

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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.