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Finding the Fourth Proportional to 254,896.17, 382,319.40 and 77,404.71

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Solution

The fourth proportional to 254,896.17, 382,319.40 and 77,404.71 is: 116,099.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,896.17 : 382,319.40 = 77,404.71 : x
  2. Step 2: Convert to fraction form
    254,896.17/382,319.40 = 77,404.71/x
  3. Step 3: Cross multiply
    254,896.17x = 382,319.40 × 77,404.71
  4. Step 4: Simplify right side
    254,896.17x = 29,593,324,008.34
  5. Step 5: Solve for x
    x = 29,593,324,008.34/254,896.17
  6. Step 6: Final answer
    x = 116,099.53

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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.