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Finding the Fourth Proportional to 400,214.31, 600,321.48 and 189,737.43

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Solution

The fourth proportional to 400,214.31, 600,321.48 and 189,737.43 is: 284,606.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,214.31 : 600,321.48 = 189,737.43 : x
  2. Step 2: Convert to fraction form
    400,214.31/600,321.48 = 189,737.43/x
  3. Step 3: Cross multiply
    400,214.31x = 600,321.48 × 189,737.43
  4. Step 4: Simplify right side
    400,214.31x = 113,903,454,789.00
  5. Step 5: Solve for x
    x = 113,903,454,789.00/400,214.31
  6. Step 6: Final answer
    x = 284,606.15

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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.