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Finding the Fourth Proportional to 305,383.35, 458,113.76 and 115,909.88

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Solution

The fourth proportional to 305,383.35, 458,113.76 and 115,909.88 is: 173,879.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,383.35 : 458,113.76 = 115,909.88 : x
  2. Step 2: Convert to fraction form
    305,383.35/458,113.76 = 115,909.88/x
  3. Step 3: Cross multiply
    305,383.35x = 458,113.76 × 115,909.88
  4. Step 4: Simplify right side
    305,383.35x = 53,099,908,077.83
  5. Step 5: Solve for x
    x = 53,099,908,077.83/305,383.35
  6. Step 6: Final answer
    x = 173,879.51

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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.