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Finding the Fourth Proportional to 305,481.15, 458,221.32 and 172,300.95

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Solution

The fourth proportional to 305,481.15, 458,221.32 and 172,300.95 is: 258,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,481.15 : 458,221.32 = 172,300.95 : x
  2. Step 2: Convert to fraction form
    305,481.15/458,221.32 = 172,300.95/x
  3. Step 3: Cross multiply
    305,481.15x = 458,221.32 × 172,300.95
  4. Step 4: Simplify right side
    305,481.15x = 78,951,968,746.25
  5. Step 5: Solve for x
    x = 78,951,968,746.25/305,481.15
  6. Step 6: Final answer
    x = 258,451.20

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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.