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Finding the Fourth Proportional to 254,272.76, 381,427.86 and 67,283

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Solution

The fourth proportional to 254,272.76, 381,427.86 and 67,283 is: 100,929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,272.76 : 381,427.86 = 67,283 : x
  2. Step 2: Convert to fraction form
    254,272.76/381,427.86 = 67,283/x
  3. Step 3: Cross multiply
    254,272.76x = 381,427.86 × 67,283
  4. Step 4: Simplify right side
    254,272.76x = 25,663,610,704.38
  5. Step 5: Solve for x
    x = 25,663,610,704.38/254,272.76
  6. Step 6: Final answer
    x = 100,929.45

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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.