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Finding the Fourth Proportional to 390,016.31, 584,025.65 and 269,906.96

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Solution

The fourth proportional to 390,016.31, 584,025.65 and 269,906.96 is: 404,169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,016.31 : 584,025.65 = 269,906.96 : x
  2. Step 2: Convert to fraction form
    390,016.31/584,025.65 = 269,906.96/x
  3. Step 3: Cross multiply
    390,016.31x = 584,025.65 × 269,906.96
  4. Step 4: Simplify right side
    390,016.31x = 157,632,585,508.16
  5. Step 5: Solve for x
    x = 157,632,585,508.16/390,016.31
  6. Step 6: Final answer
    x = 404,169.21

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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.