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Finding the Fourth Proportional to 265,906.80, 398,860.20 and 255,409.20

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Solution

The fourth proportional to 265,906.80, 398,860.20 and 255,409.20 is: 383,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,906.80 : 398,860.20 = 255,409.20 : x
  2. Step 2: Convert to fraction form
    265,906.80/398,860.20 = 255,409.20/x
  3. Step 3: Cross multiply
    265,906.80x = 398,860.20 × 255,409.20
  4. Step 4: Simplify right side
    265,906.80x = 101,872,564,593.84
  5. Step 5: Solve for x
    x = 101,872,564,593.84/265,906.80
  6. Step 6: Final answer
    x = 383,113.80

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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.