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Finding the Fourth Proportional to 378,344.29, 522,119.16 and 208,584.49

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Solution

The fourth proportional to 378,344.29, 522,119.16 and 208,584.49 is: 287,848.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,344.29 : 522,119.16 = 208,584.49 : x
  2. Step 2: Convert to fraction form
    378,344.29/522,119.16 = 208,584.49/x
  3. Step 3: Cross multiply
    378,344.29x = 522,119.16 × 208,584.49
  4. Step 4: Simplify right side
    378,344.29x = 108,905,958,707.83
  5. Step 5: Solve for x
    x = 108,905,958,707.83/378,344.29
  6. Step 6: Final answer
    x = 287,848.82

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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.