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Finding the Fourth Proportional to 378,121, 521,817.96 and 208,366.06

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Solution

The fourth proportional to 378,121, 521,817.96 and 208,366.06 is: 287,551.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,121 : 521,817.96 = 208,366.06 : x
  2. Step 2: Convert to fraction form
    378,121/521,817.96 = 208,366.06/x
  3. Step 3: Cross multiply
    378,121x = 521,817.96 × 208,366.06
  4. Step 4: Simplify right side
    378,121x = 108,729,152,362.44
  5. Step 5: Solve for x
    x = 108,729,152,362.44/378,121
  6. Step 6: Final answer
    x = 287,551.21

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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.