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Finding the Fourth Proportional to 428,846.76, 643,327.74 and 162,705.96

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Solution

The fourth proportional to 428,846.76, 643,327.74 and 162,705.96 is: 244,080.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,846.76 : 643,327.74 = 162,705.96 : x
  2. Step 2: Convert to fraction form
    428,846.76/643,327.74 = 162,705.96/x
  3. Step 3: Cross multiply
    428,846.76x = 643,327.74 × 162,705.96
  4. Step 4: Simplify right side
    428,846.76x = 104,673,257,531.33
  5. Step 5: Solve for x
    x = 104,673,257,531.33/428,846.76
  6. Step 6: Final answer
    x = 244,080.79

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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.