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Finding the Fourth Proportional to 265,828, 398,230.32 and 209,369.44

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Solution

The fourth proportional to 265,828, 398,230.32 and 209,369.44 is: 313,651.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,828 : 398,230.32 = 209,369.44 : x
  2. Step 2: Convert to fraction form
    265,828/398,230.32 = 209,369.44/x
  3. Step 3: Cross multiply
    265,828x = 398,230.32 × 209,369.44
  4. Step 4: Simplify right side
    265,828x = 83,377,259,089.42
  5. Step 5: Solve for x
    x = 83,377,259,089.42/265,828
  6. Step 6: Final answer
    x = 313,651.15

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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.