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Finding the Fourth Proportional to 378,288.56, 521,997 and 208,490

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Solution

The fourth proportional to 378,288.56, 521,997 and 208,490 is: 287,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,288.56 : 521,997 = 208,490 : x
  2. Step 2: Convert to fraction form
    378,288.56/521,997 = 208,490/x
  3. Step 3: Cross multiply
    378,288.56x = 521,997 × 208,490
  4. Step 4: Simplify right side
    378,288.56x = 108,831,154,530
  5. Step 5: Solve for x
    x = 108,831,154,530/378,288.56
  6. Step 6: Final answer
    x = 287,693.49

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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.