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Finding the Fourth Proportional to 399,853.87, 599,715.90 and 133,613.96

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Solution

The fourth proportional to 399,853.87, 599,715.90 and 133,613.96 is: 200,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,853.87 : 599,715.90 = 133,613.96 : x
  2. Step 2: Convert to fraction form
    399,853.87/599,715.90 = 133,613.96/x
  3. Step 3: Cross multiply
    399,853.87x = 599,715.90 × 133,613.96
  4. Step 4: Simplify right side
    399,853.87x = 80,130,413,275.38
  5. Step 5: Solve for x
    x = 80,130,413,275.38/399,853.87
  6. Step 6: Final answer
    x = 200,399.25

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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.