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Finding the Fourth Proportional to 638,331.54, 957,530.12 and 165,021

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Solution

The fourth proportional to 638,331.54, 957,530.12 and 165,021 is: 247,539.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,331.54 : 957,530.12 = 165,021 : x
  2. Step 2: Convert to fraction form
    638,331.54/957,530.12 = 165,021/x
  3. Step 3: Cross multiply
    638,331.54x = 957,530.12 × 165,021
  4. Step 4: Simplify right side
    638,331.54x = 158,012,577,107.42
  5. Step 5: Solve for x
    x = 158,012,577,107.42/638,331.54
  6. Step 6: Final answer
    x = 247,539.98

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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.