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Finding the Fourth Proportional to 517,081.36, 775,635 and 143,107.60

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Solution

The fourth proportional to 517,081.36, 775,635 and 143,107.60 is: 214,664.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,081.36 : 775,635 = 143,107.60 : x
  2. Step 2: Convert to fraction form
    517,081.36/775,635 = 143,107.60/x
  3. Step 3: Cross multiply
    517,081.36x = 775,635 × 143,107.60
  4. Step 4: Simplify right side
    517,081.36x = 110,999,263,326
  5. Step 5: Solve for x
    x = 110,999,263,326/517,081.36
  6. Step 6: Final answer
    x = 214,664.99

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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.