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Finding the Fourth Proportional to 254,296.28, 381,450.90 and 76,809.08

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Solution

The fourth proportional to 254,296.28, 381,450.90 and 76,809.08 is: 115,215.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,296.28 : 381,450.90 = 76,809.08 : x
  2. Step 2: Convert to fraction form
    254,296.28/381,450.90 = 76,809.08/x
  3. Step 3: Cross multiply
    254,296.28x = 381,450.90 × 76,809.08
  4. Step 4: Simplify right side
    254,296.28x = 29,298,892,694.17
  5. Step 5: Solve for x
    x = 29,298,892,694.17/254,296.28
  6. Step 6: Final answer
    x = 115,215.58

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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.