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Finding the Fourth Proportional to 299,625.30, 449,500.35 and 100,007.70

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Solution

The fourth proportional to 299,625.30, 449,500.35 and 100,007.70 is: 150,032.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,625.30 : 449,500.35 = 100,007.70 : x
  2. Step 2: Convert to fraction form
    299,625.30/449,500.35 = 100,007.70/x
  3. Step 3: Cross multiply
    299,625.30x = 449,500.35 × 100,007.70
  4. Step 4: Simplify right side
    299,625.30x = 44,953,496,152.70
  5. Step 5: Solve for x
    x = 44,953,496,152.70/299,625.30
  6. Step 6: Final answer
    x = 150,032.38

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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.