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Finding the Fourth Proportional to 254,454.40, 381,608.70 and 76,918.60

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Solution

The fourth proportional to 254,454.40, 381,608.70 and 76,918.60 is: 115,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,454.40 : 381,608.70 = 76,918.60 : x
  2. Step 2: Convert to fraction form
    254,454.40/381,608.70 = 76,918.60/x
  3. Step 3: Cross multiply
    254,454.40x = 381,608.70 × 76,918.60
  4. Step 4: Simplify right side
    254,454.40x = 29,352,806,951.82
  5. Step 5: Solve for x
    x = 29,352,806,951.82/254,454.40
  6. Step 6: Final answer
    x = 115,355.86

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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.