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Finding the Fourth Proportional to 371,998.25, 513,361.89 and 206,429.61

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Solution

The fourth proportional to 371,998.25, 513,361.89 and 206,429.61 is: 284,875.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,998.25 : 513,361.89 = 206,429.61 : x
  2. Step 2: Convert to fraction form
    371,998.25/513,361.89 = 206,429.61/x
  3. Step 3: Cross multiply
    371,998.25x = 513,361.89 × 206,429.61
  4. Step 4: Simplify right side
    371,998.25x = 105,973,094,741.56
  5. Step 5: Solve for x
    x = 105,973,094,741.56/371,998.25
  6. Step 6: Final answer
    x = 284,875.25

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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.