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Finding the Fourth Proportional to 392,074.04, 541,054.86 and 219,995.12

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Solution

The fourth proportional to 392,074.04, 541,054.86 and 219,995.12 is: 303,589.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,074.04 : 541,054.86 = 219,995.12 : x
  2. Step 2: Convert to fraction form
    392,074.04/541,054.86 = 219,995.12/x
  3. Step 3: Cross multiply
    392,074.04x = 541,054.86 × 219,995.12
  4. Step 4: Simplify right side
    392,074.04x = 119,029,428,852.28
  5. Step 5: Solve for x
    x = 119,029,428,852.28/392,074.04
  6. Step 6: Final answer
    x = 303,589.16

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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.