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Finding the Fourth Proportional to 378,178.16, 521,883.24 and 208,412.48

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Solution

The fourth proportional to 378,178.16, 521,883.24 and 208,412.48 is: 287,607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,178.16 : 521,883.24 = 208,412.48 : x
  2. Step 2: Convert to fraction form
    378,178.16/521,883.24 = 208,412.48/x
  3. Step 3: Cross multiply
    378,178.16x = 521,883.24 × 208,412.48
  4. Step 4: Simplify right side
    378,178.16x = 108,766,980,318.84
  5. Step 5: Solve for x
    x = 108,766,980,318.84/378,178.16
  6. Step 6: Final answer
    x = 287,607.78

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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.