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Finding the Fourth Proportional to 502,953.64, 754,517.82 and 203,422.12

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Solution

The fourth proportional to 502,953.64, 754,517.82 and 203,422.12 is: 305,168.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,953.64 : 754,517.82 = 203,422.12 : x
  2. Step 2: Convert to fraction form
    502,953.64/754,517.82 = 203,422.12/x
  3. Step 3: Cross multiply
    502,953.64x = 754,517.82 × 203,422.12
  4. Step 4: Simplify right side
    502,953.64x = 153,485,614,522.18
  5. Step 5: Solve for x
    x = 153,485,614,522.18/502,953.64
  6. Step 6: Final answer
    x = 305,168.51

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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.