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Finding the Fourth Proportional to 254,770.92, 382,157.28 and 77,279.46

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Solution

The fourth proportional to 254,770.92, 382,157.28 and 77,279.46 is: 115,919.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,770.92 : 382,157.28 = 77,279.46 : x
  2. Step 2: Convert to fraction form
    254,770.92/382,157.28 = 77,279.46/x
  3. Step 3: Cross multiply
    254,770.92x = 382,157.28 × 77,279.46
  4. Step 4: Simplify right side
    254,770.92x = 29,532,908,233.47
  5. Step 5: Solve for x
    x = 29,532,908,233.47/254,770.92
  6. Step 6: Final answer
    x = 115,919.46

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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.