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Finding the Fourth Proportional to 254,839.96, 381,427.95 and 187,354.18

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Solution

The fourth proportional to 254,839.96, 381,427.95 and 187,354.18 is: 280,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,839.96 : 381,427.95 = 187,354.18 : x
  2. Step 2: Convert to fraction form
    254,839.96/381,427.95 = 187,354.18/x
  3. Step 3: Cross multiply
    254,839.96x = 381,427.95 × 187,354.18
  4. Step 4: Simplify right side
    254,839.96x = 71,462,120,801.33
  5. Step 5: Solve for x
    x = 71,462,120,801.33/254,839.96
  6. Step 6: Final answer
    x = 280,419.60

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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.