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Finding the Fourth Proportional to 378,228.96, 521,959.60 and 208,469.60

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Solution

The fourth proportional to 378,228.96, 521,959.60 and 208,469.60 is: 287,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,228.96 : 521,959.60 = 208,469.60 : x
  2. Step 2: Convert to fraction form
    378,228.96/521,959.60 = 208,469.60/x
  3. Step 3: Cross multiply
    378,228.96x = 521,959.60 × 208,469.60
  4. Step 4: Simplify right side
    378,228.96x = 108,812,709,028.16
  5. Step 5: Solve for x
    x = 108,812,709,028.16/378,228.96
  6. Step 6: Final answer
    x = 287,690.05

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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.