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Finding the Fourth Proportional to 305,053.94, 420,832.04 and 191,939.06

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Solution

The fourth proportional to 305,053.94, 420,832.04 and 191,939.06 is: 264,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,053.94 : 420,832.04 = 191,939.06 : x
  2. Step 2: Convert to fraction form
    305,053.94/420,832.04 = 191,939.06/x
  3. Step 3: Cross multiply
    305,053.94x = 420,832.04 × 191,939.06
  4. Step 4: Simplify right side
    305,053.94x = 80,774,106,175.48
  5. Step 5: Solve for x
    x = 80,774,106,175.48/305,053.94
  6. Step 6: Final answer
    x = 264,786.31

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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.