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Finding the Fourth Proportional to 304,116.21, 419,643.74 and 168,131.79

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Solution

The fourth proportional to 304,116.21, 419,643.74 and 168,131.79 is: 232,001.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,116.21 : 419,643.74 = 168,131.79 : x
  2. Step 2: Convert to fraction form
    304,116.21/419,643.74 = 168,131.79/x
  3. Step 3: Cross multiply
    304,116.21x = 419,643.74 × 168,131.79
  4. Step 4: Simplify right side
    304,116.21x = 70,555,452,327.84
  5. Step 5: Solve for x
    x = 70,555,452,327.84/304,116.21
  6. Step 6: Final answer
    x = 232,001.62

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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.