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Finding the Fourth Proportional to 384,157.53, 576,236.43 and 103,674.78

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Solution

The fourth proportional to 384,157.53, 576,236.43 and 103,674.78 is: 155,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,157.53 : 576,236.43 = 103,674.78 : x
  2. Step 2: Convert to fraction form
    384,157.53/576,236.43 = 103,674.78/x
  3. Step 3: Cross multiply
    384,157.53x = 576,236.43 × 103,674.78
  4. Step 4: Simplify right side
    384,157.53x = 59,741,185,108.24
  5. Step 5: Solve for x
    x = 59,741,185,108.24/384,157.53
  6. Step 6: Final answer
    x = 155,512.21

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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.