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Finding the Fourth Proportional to 304,990.56, 457,563.28 and 91,757.28

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Solution

The fourth proportional to 304,990.56, 457,563.28 and 91,757.28 is: 137,659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,990.56 : 457,563.28 = 91,757.28 : x
  2. Step 2: Convert to fraction form
    304,990.56/457,563.28 = 91,757.28/x
  3. Step 3: Cross multiply
    304,990.56x = 457,563.28 × 91,757.28
  4. Step 4: Simplify right side
    304,990.56x = 41,984,762,000.68
  5. Step 5: Solve for x
    x = 41,984,762,000.68/304,990.56
  6. Step 6: Final answer
    x = 137,659.22

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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.