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Finding the Fourth Proportional to 299,403.12, 449,007.50 and 99,669.88

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Solution

The fourth proportional to 299,403.12, 449,007.50 and 99,669.88 is: 149,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,403.12 : 449,007.50 = 99,669.88 : x
  2. Step 2: Convert to fraction form
    299,403.12/449,007.50 = 99,669.88/x
  3. Step 3: Cross multiply
    299,403.12x = 449,007.50 × 99,669.88
  4. Step 4: Simplify right side
    299,403.12x = 44,752,523,644.10
  5. Step 5: Solve for x
    x = 44,752,523,644.10/299,403.12
  6. Step 6: Final answer
    x = 149,472.47

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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.