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Finding the Fourth Proportional to 520,006, 780,009 and 126,022

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Solution

The fourth proportional to 520,006, 780,009 and 126,022 is: 189,033

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,006 : 780,009 = 126,022 : x
  2. Step 2: Convert to fraction form
    520,006/780,009 = 126,022/x
  3. Step 3: Cross multiply
    520,006x = 780,009 × 126,022
  4. Step 4: Simplify right side
    520,006x = 98,298,294,198
  5. Step 5: Solve for x
    x = 98,298,294,198/520,006
  6. Step 6: Final answer
    x = 189,033

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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.