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Finding the Fourth Proportional to 378,185.72, 521,893.66 and 208,420

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Solution

The fourth proportional to 378,185.72, 521,893.66 and 208,420 is: 287,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,185.72 : 521,893.66 = 208,420 : x
  2. Step 2: Convert to fraction form
    378,185.72/521,893.66 = 208,420/x
  3. Step 3: Cross multiply
    378,185.72x = 521,893.66 × 208,420
  4. Step 4: Simplify right side
    378,185.72x = 108,773,076,617.20
  5. Step 5: Solve for x
    x = 108,773,076,617.20/378,185.72
  6. Step 6: Final answer
    x = 287,618.15

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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.