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Finding the Fourth Proportional to 520,186, 780,279 and 126,202

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Solution

The fourth proportional to 520,186, 780,279 and 126,202 is: 189,303

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,186 : 780,279 = 126,202 : x
  2. Step 2: Convert to fraction form
    520,186/780,279 = 126,202/x
  3. Step 3: Cross multiply
    520,186x = 780,279 × 126,202
  4. Step 4: Simplify right side
    520,186x = 98,472,770,358
  5. Step 5: Solve for x
    x = 98,472,770,358/520,186
  6. Step 6: Final answer
    x = 189,303

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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.