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Finding the Fourth Proportional to 512,921.35, 769,382.63 and 133,841.81

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Solution

The fourth proportional to 512,921.35, 769,382.63 and 133,841.81 is: 200,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,921.35 : 769,382.63 = 133,841.81 : x
  2. Step 2: Convert to fraction form
    512,921.35/769,382.63 = 133,841.81/x
  3. Step 3: Cross multiply
    512,921.35x = 769,382.63 × 133,841.81
  4. Step 4: Simplify right side
    512,921.35x = 102,975,561,210.14
  5. Step 5: Solve for x
    x = 102,975,561,210.14/512,921.35
  6. Step 6: Final answer
    x = 200,762.87

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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.