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Finding the Fourth Proportional to 378,225.36, 521,949.42 and 208,459.44

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Solution

The fourth proportional to 378,225.36, 521,949.42 and 208,459.44 is: 287,673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,225.36 : 521,949.42 = 208,459.44 : x
  2. Step 2: Convert to fraction form
    378,225.36/521,949.42 = 208,459.44/x
  3. Step 3: Cross multiply
    378,225.36x = 521,949.42 × 208,459.44
  4. Step 4: Simplify right side
    378,225.36x = 108,805,283,801.53
  5. Step 5: Solve for x
    x = 108,805,283,801.53/378,225.36
  6. Step 6: Final answer
    x = 287,673.16

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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.