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Finding the Fourth Proportional to 299,380.14, 449,142.10 and 99,702.32

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Solution

The fourth proportional to 299,380.14, 449,142.10 and 99,702.32 is: 149,577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,380.14 : 449,142.10 = 99,702.32 : x
  2. Step 2: Convert to fraction form
    299,380.14/449,142.10 = 99,702.32/x
  3. Step 3: Cross multiply
    299,380.14x = 449,142.10 × 99,702.32
  4. Step 4: Simplify right side
    299,380.14x = 44,780,509,379.67
  5. Step 5: Solve for x
    x = 44,780,509,379.67/299,380.14
  6. Step 6: Final answer
    x = 149,577.42

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1.5x scale

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.