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Finding the Fourth Proportional to 254,525.78, 381,347.66 and 154,476.33

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Solution

The fourth proportional to 254,525.78, 381,347.66 and 154,476.33 is: 231,446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,525.78 : 381,347.66 = 154,476.33 : x
  2. Step 2: Convert to fraction form
    254,525.78/381,347.66 = 154,476.33/x
  3. Step 3: Cross multiply
    254,525.78x = 381,347.66 × 154,476.33
  4. Step 4: Simplify right side
    254,525.78x = 58,909,188,310.45
  5. Step 5: Solve for x
    x = 58,909,188,310.45/254,525.78
  6. Step 6: Final answer
    x = 231,446.85

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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.