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Finding the Fourth Proportional to 378,053.63, 521,712.45 and 205,971.11

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Solution

The fourth proportional to 378,053.63, 521,712.45 and 205,971.11 is: 284,239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,053.63 : 521,712.45 = 205,971.11 : x
  2. Step 2: Convert to fraction form
    378,053.63/521,712.45 = 205,971.11/x
  3. Step 3: Cross multiply
    378,053.63x = 521,712.45 × 205,971.11
  4. Step 4: Simplify right side
    378,053.63x = 107,457,689,818.76
  5. Step 5: Solve for x
    x = 107,457,689,818.76/378,053.63
  6. Step 6: Final answer
    x = 284,239.28

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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.