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Finding the Fourth Proportional to 378,325.42, 522,092.56 and 208,565.62

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Solution

The fourth proportional to 378,325.42, 522,092.56 and 208,565.62 is: 287,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,325.42 : 522,092.56 = 208,565.62 : x
  2. Step 2: Convert to fraction form
    378,325.42/522,092.56 = 208,565.62/x
  3. Step 3: Cross multiply
    378,325.42x = 522,092.56 × 208,565.62
  4. Step 4: Simplify right side
    378,325.42x = 108,890,558,473.79
  5. Step 5: Solve for x
    x = 108,890,558,473.79/378,325.42
  6. Step 6: Final answer
    x = 287,822.47

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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.