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Finding the Fourth Proportional to 394,933, 545,003.94 and 222,852.16

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Solution

The fourth proportional to 394,933, 545,003.94 and 222,852.16 is: 307,533.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,933 : 545,003.94 = 222,852.16 : x
  2. Step 2: Convert to fraction form
    394,933/545,003.94 = 222,852.16/x
  3. Step 3: Cross multiply
    394,933x = 545,003.94 × 222,852.16
  4. Step 4: Simplify right side
    394,933x = 121,455,305,237.51
  5. Step 5: Solve for x
    x = 121,455,305,237.51/394,933
  6. Step 6: Final answer
    x = 307,533.95

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1.5x scale

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.