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Finding the Fourth Proportional to 378,053.13, 521,711.76 and 205,970.61

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Solution

The fourth proportional to 378,053.13, 521,711.76 and 205,970.61 is: 284,238.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,053.13 : 521,711.76 = 205,970.61 : x
  2. Step 2: Convert to fraction form
    378,053.13/521,711.76 = 205,970.61/x
  3. Step 3: Cross multiply
    378,053.13x = 521,711.76 × 205,970.61
  4. Step 4: Simplify right side
    378,053.13x = 107,457,289,451.37
  5. Step 5: Solve for x
    x = 107,457,289,451.37/378,053.13
  6. Step 6: Final answer
    x = 284,238.59

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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.