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Finding the Fourth Proportional to 305,487.76, 458,236.84 and 105,814.06

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Solution

The fourth proportional to 305,487.76, 458,236.84 and 105,814.06 is: 158,722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,487.76 : 458,236.84 = 105,814.06 : x
  2. Step 2: Convert to fraction form
    305,487.76/458,236.84 = 105,814.06/x
  3. Step 3: Cross multiply
    305,487.76x = 458,236.84 × 105,814.06
  4. Step 4: Simplify right side
    305,487.76x = 48,487,900,481.97
  5. Step 5: Solve for x
    x = 48,487,900,481.97/305,487.76
  6. Step 6: Final answer
    x = 158,722.89

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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.