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Finding the Fourth Proportional to 378,398.96, 522,194.63 and 206,315.51

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Solution

The fourth proportional to 378,398.96, 522,194.63 and 206,315.51 is: 284,717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,398.96 : 522,194.63 = 206,315.51 : x
  2. Step 2: Convert to fraction form
    378,398.96/522,194.63 = 206,315.51/x
  3. Step 3: Cross multiply
    378,398.96x = 522,194.63 × 206,315.51
  4. Step 4: Simplify right side
    378,398.96x = 107,736,851,407.71
  5. Step 5: Solve for x
    x = 107,736,851,407.71/378,398.96
  6. Step 6: Final answer
    x = 284,717.62

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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.