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Finding the Fourth Proportional to 638,333.29, 957,532.74 and 165,022.75

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Solution

The fourth proportional to 638,333.29, 957,532.74 and 165,022.75 is: 247,542.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,333.29 : 957,532.74 = 165,022.75 : x
  2. Step 2: Convert to fraction form
    638,333.29/957,532.74 = 165,022.75/x
  3. Step 3: Cross multiply
    638,333.29x = 957,532.74 × 165,022.75
  4. Step 4: Simplify right side
    638,333.29x = 158,014,685,969.84
  5. Step 5: Solve for x
    x = 158,014,685,969.84/638,333.29
  6. Step 6: Final answer
    x = 247,542.61

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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.