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Finding the Fourth Proportional to 520,022, 780,033.04 and 126,038

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Solution

The fourth proportional to 520,022, 780,033.04 and 126,038 is: 189,057.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,022 : 780,033.04 = 126,038 : x
  2. Step 2: Convert to fraction form
    520,022/780,033.04 = 126,038/x
  3. Step 3: Cross multiply
    520,022x = 780,033.04 × 126,038
  4. Step 4: Simplify right side
    520,022x = 98,313,804,295.52
  5. Step 5: Solve for x
    x = 98,313,804,295.52/520,022
  6. Step 6: Final answer
    x = 189,057.01

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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.