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Finding the Fourth Proportional to 254,296.35, 381,482.82 and 76,817.70

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Solution

The fourth proportional to 254,296.35, 381,482.82 and 76,817.70 is: 115,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,296.35 : 381,482.82 = 76,817.70 : x
  2. Step 2: Convert to fraction form
    254,296.35/381,482.82 = 76,817.70/x
  3. Step 3: Cross multiply
    254,296.35x = 381,482.82 × 76,817.70
  4. Step 4: Simplify right side
    254,296.35x = 29,304,632,821.91
  5. Step 5: Solve for x
    x = 29,304,632,821.91/254,296.35
  6. Step 6: Final answer
    x = 115,238.12

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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.