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Finding the Fourth Proportional to 378,940.94, 522,814.30 and 270,062.42

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Solution

The fourth proportional to 378,940.94, 522,814.30 and 270,062.42 is: 372,597.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,940.94 : 522,814.30 = 270,062.42 : x
  2. Step 2: Convert to fraction form
    378,940.94/522,814.30 = 270,062.42/x
  3. Step 3: Cross multiply
    378,940.94x = 522,814.30 × 270,062.42
  4. Step 4: Simplify right side
    378,940.94x = 141,192,495,700.49
  5. Step 5: Solve for x
    x = 141,192,495,700.49/378,940.94
  6. Step 6: Final answer
    x = 372,597.63

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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.