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Finding the Fourth Proportional to 394,646.57, 591,871.33 and 154,809.21

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Solution

The fourth proportional to 394,646.57, 591,871.33 and 154,809.21 is: 232,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,646.57 : 591,871.33 = 154,809.21 : x
  2. Step 2: Convert to fraction form
    394,646.57/591,871.33 = 154,809.21/x
  3. Step 3: Cross multiply
    394,646.57x = 591,871.33 × 154,809.21
  4. Step 4: Simplify right side
    394,646.57x = 91,627,133,018.95
  5. Step 5: Solve for x
    x = 91,627,133,018.95/394,646.57
  6. Step 6: Final answer
    x = 232,175.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.