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Finding the Fourth Proportional to 375,255.52, 517,851.83 and 203,172.64

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Solution

The fourth proportional to 375,255.52, 517,851.83 and 203,172.64 is: 280,377.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,255.52 : 517,851.83 = 203,172.64 : x
  2. Step 2: Convert to fraction form
    375,255.52/517,851.83 = 203,172.64/x
  3. Step 3: Cross multiply
    375,255.52x = 517,851.83 × 203,172.64
  4. Step 4: Simplify right side
    375,255.52x = 105,213,322,643.23
  5. Step 5: Solve for x
    x = 105,213,322,643.23/375,255.52
  6. Step 6: Final answer
    x = 280,377.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.