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Finding the Fourth Proportional to 378,073.44, 521,764.56 and 208,307.52

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Solution

The fourth proportional to 378,073.44, 521,764.56 and 208,307.52 is: 287,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,073.44 : 521,764.56 = 208,307.52 : x
  2. Step 2: Convert to fraction form
    378,073.44/521,764.56 = 208,307.52/x
  3. Step 3: Cross multiply
    378,073.44x = 521,764.56 × 208,307.52
  4. Step 4: Simplify right side
    378,073.44x = 108,687,481,517.49
  5. Step 5: Solve for x
    x = 108,687,481,517.49/378,073.44
  6. Step 6: Final answer
    x = 287,477.17

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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.