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Finding the Fourth Proportional to 305,481.60, 458,557.68 and 242,705.28

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Solution

The fourth proportional to 305,481.60, 458,557.68 and 242,705.28 is: 364,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,481.60 : 458,557.68 = 242,705.28 : x
  2. Step 2: Convert to fraction form
    305,481.60/458,557.68 = 242,705.28/x
  3. Step 3: Cross multiply
    305,481.60x = 458,557.68 × 242,705.28
  4. Step 4: Simplify right side
    305,481.60x = 111,294,370,120.55
  5. Step 5: Solve for x
    x = 111,294,370,120.55/305,481.60
  6. Step 6: Final answer
    x = 364,324.30

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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.