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Finding the Fourth Proportional to 378,146, 521,843.20 and 208,376.48

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Solution

The fourth proportional to 378,146, 521,843.20 and 208,376.48 is: 287,560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,146 : 521,843.20 = 208,376.48 : x
  2. Step 2: Convert to fraction form
    378,146/521,843.20 = 208,376.48/x
  3. Step 3: Cross multiply
    378,146x = 521,843.20 × 208,376.48
  4. Step 4: Simplify right side
    378,146x = 108,739,849,127.94
  5. Step 5: Solve for x
    x = 108,739,849,127.94/378,146
  6. Step 6: Final answer
    x = 287,560.49

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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.