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Finding the Fourth Proportional to 305,228.88, 457,863.48 and 105,568.56

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Solution

The fourth proportional to 305,228.88, 457,863.48 and 105,568.56 is: 158,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,228.88 : 457,863.48 = 105,568.56 : x
  2. Step 2: Convert to fraction form
    305,228.88/457,863.48 = 105,568.56/x
  3. Step 3: Cross multiply
    305,228.88x = 457,863.48 × 105,568.56
  4. Step 4: Simplify right side
    305,228.88x = 48,335,988,260.19
  5. Step 5: Solve for x
    x = 48,335,988,260.19/305,228.88
  6. Step 6: Final answer
    x = 158,359.81

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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.