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Finding the Fourth Proportional to 520,182, 780,273 and 126,198

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Solution

The fourth proportional to 520,182, 780,273 and 126,198 is: 189,297

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,182 : 780,273 = 126,198 : x
  2. Step 2: Convert to fraction form
    520,182/780,273 = 126,198/x
  3. Step 3: Cross multiply
    520,182x = 780,273 × 126,198
  4. Step 4: Simplify right side
    520,182x = 98,468,892,054
  5. Step 5: Solve for x
    x = 98,468,892,054/520,182
  6. Step 6: Final answer
    x = 189,297

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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.