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Finding the Fourth Proportional to 399,151.96, 598,299.42 and 199,077.08

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Solution

The fourth proportional to 399,151.96, 598,299.42 and 199,077.08 is: 298,401.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,151.96 : 598,299.42 = 199,077.08 : x
  2. Step 2: Convert to fraction form
    399,151.96/598,299.42 = 199,077.08/x
  3. Step 3: Cross multiply
    399,151.96x = 598,299.42 × 199,077.08
  4. Step 4: Simplify right side
    399,151.96x = 119,107,701,499.29
  5. Step 5: Solve for x
    x = 119,107,701,499.29/399,151.96
  6. Step 6: Final answer
    x = 298,401.90

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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.