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Finding the Fourth Proportional to 289,102.97, 433,651.92 and 225,976.13

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Solution

The fourth proportional to 289,102.97, 433,651.92 and 225,976.13 is: 338,962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,102.97 : 433,651.92 = 225,976.13 : x
  2. Step 2: Convert to fraction form
    289,102.97/433,651.92 = 225,976.13/x
  3. Step 3: Cross multiply
    289,102.97x = 433,651.92 × 225,976.13
  4. Step 4: Simplify right side
    289,102.97x = 97,994,982,648.67
  5. Step 5: Solve for x
    x = 97,994,982,648.67/289,102.97
  6. Step 6: Final answer
    x = 338,962.21

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1.5x scale

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.