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Finding the Fourth Proportional to 523,145.25, 784,725.30 and 149,168.25

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Solution

The fourth proportional to 523,145.25, 784,725.30 and 149,168.25 is: 223,754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,145.25 : 784,725.30 = 149,168.25 : x
  2. Step 2: Convert to fraction form
    523,145.25/784,725.30 = 149,168.25/x
  3. Step 3: Cross multiply
    523,145.25x = 784,725.30 × 149,168.25
  4. Step 4: Simplify right side
    523,145.25x = 117,056,099,731.73
  5. Step 5: Solve for x
    x = 117,056,099,731.73/523,145.25
  6. Step 6: Final answer
    x = 223,754.49

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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.