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Finding the Fourth Proportional to 378,397.54, 522,192.14 and 208,637.70

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Solution

The fourth proportional to 378,397.54, 522,192.14 and 208,637.70 is: 287,921.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,397.54 : 522,192.14 = 208,637.70 : x
  2. Step 2: Convert to fraction form
    378,397.54/522,192.14 = 208,637.70/x
  3. Step 3: Cross multiply
    378,397.54x = 522,192.14 × 208,637.70
  4. Step 4: Simplify right side
    378,397.54x = 108,948,967,047.68
  5. Step 5: Solve for x
    x = 108,948,967,047.68/378,397.54
  6. Step 6: Final answer
    x = 287,921.97

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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.