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Finding the Fourth Proportional to 632,872.50, 949,464.30 and 189,640.50

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Solution

The fourth proportional to 632,872.50, 949,464.30 and 189,640.50 is: 284,507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,872.50 : 949,464.30 = 189,640.50 : x
  2. Step 2: Convert to fraction form
    632,872.50/949,464.30 = 189,640.50/x
  3. Step 3: Cross multiply
    632,872.50x = 949,464.30 × 189,640.50
  4. Step 4: Simplify right side
    632,872.50x = 180,056,884,584.15
  5. Step 5: Solve for x
    x = 180,056,884,584.15/632,872.50
  6. Step 6: Final answer
    x = 284,507.36

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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.