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Finding the Fourth Proportional to 512,709.66, 768,559.05 and 180,052.38

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Solution

The fourth proportional to 512,709.66, 768,559.05 and 180,052.38 is: 269,901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,709.66 : 768,559.05 = 180,052.38 : x
  2. Step 2: Convert to fraction form
    512,709.66/768,559.05 = 180,052.38/x
  3. Step 3: Cross multiply
    512,709.66x = 768,559.05 × 180,052.38
  4. Step 4: Simplify right side
    512,709.66x = 138,380,886,123.04
  5. Step 5: Solve for x
    x = 138,380,886,123.04/512,709.66
  6. Step 6: Final answer
    x = 269,901.07

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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.