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Finding the Fourth Proportional to 378,802.95, 522,759.09 and 206,731.98

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Solution

The fourth proportional to 378,802.95, 522,759.09 and 206,731.98 is: 285,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,802.95 : 522,759.09 = 206,731.98 : x
  2. Step 2: Convert to fraction form
    378,802.95/522,759.09 = 206,731.98/x
  3. Step 3: Cross multiply
    378,802.95x = 522,759.09 × 206,731.98
  4. Step 4: Simplify right side
    378,802.95x = 108,071,020,963.45
  5. Step 5: Solve for x
    x = 108,071,020,963.45/378,802.95
  6. Step 6: Final answer
    x = 285,296.15

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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.