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Finding the Fourth Proportional to 399,867.12, 600,096 and 189,505.68

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Solution

The fourth proportional to 399,867.12, 600,096 and 189,505.68 is: 284,398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,867.12 : 600,096 = 189,505.68 : x
  2. Step 2: Convert to fraction form
    399,867.12/600,096 = 189,505.68/x
  3. Step 3: Cross multiply
    399,867.12x = 600,096 × 189,505.68
  4. Step 4: Simplify right side
    399,867.12x = 113,721,600,545.28
  5. Step 5: Solve for x
    x = 113,721,600,545.28/399,867.12
  6. Step 6: Final answer
    x = 284,398.48

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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.