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Finding the Fourth Proportional to 512,957.81, 769,436.72 and 138,980.81

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Solution

The fourth proportional to 512,957.81, 769,436.72 and 138,980.81 is: 208,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,957.81 : 769,436.72 = 138,980.81 : x
  2. Step 2: Convert to fraction form
    512,957.81/769,436.72 = 138,980.81/x
  3. Step 3: Cross multiply
    512,957.81x = 769,436.72 × 138,980.81
  4. Step 4: Simplify right side
    512,957.81x = 106,936,940,339.21
  5. Step 5: Solve for x
    x = 106,936,940,339.21/512,957.81
  6. Step 6: Final answer
    x = 208,471.22

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Similar ratio
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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.