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Finding the Fourth Proportional to 378,747.64, 522,670.62 and 208,981.90

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Solution

The fourth proportional to 378,747.64, 522,670.62 and 208,981.90 is: 288,394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,747.64 : 522,670.62 = 208,981.90 : x
  2. Step 2: Convert to fraction form
    378,747.64/522,670.62 = 208,981.90/x
  3. Step 3: Cross multiply
    378,747.64x = 522,670.62 × 208,981.90
  4. Step 4: Simplify right side
    378,747.64x = 109,228,699,241.78
  5. Step 5: Solve for x
    x = 109,228,699,241.78/378,747.64
  6. Step 6: Final answer
    x = 288,394.40

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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.