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Finding the Fourth Proportional to 378,070.71, 521,743.59 and 205,996.80

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Solution

The fourth proportional to 378,070.71, 521,743.59 and 205,996.80 is: 284,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,070.71 : 521,743.59 = 205,996.80 : x
  2. Step 2: Convert to fraction form
    378,070.71/521,743.59 = 205,996.80/x
  3. Step 3: Cross multiply
    378,070.71x = 521,743.59 × 205,996.80
  4. Step 4: Simplify right side
    378,070.71x = 107,477,509,960.51
  5. Step 5: Solve for x
    x = 107,477,509,960.51/378,070.71
  6. Step 6: Final answer
    x = 284,278.86

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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.