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Finding the Fourth Proportional to 279,322.49, 419,191.59 and 137,244.03

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Solution

The fourth proportional to 279,322.49, 419,191.59 and 137,244.03 is: 205,968.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,322.49 : 419,191.59 = 137,244.03 : x
  2. Step 2: Convert to fraction form
    279,322.49/419,191.59 = 137,244.03/x
  3. Step 3: Cross multiply
    279,322.49x = 419,191.59 × 137,244.03
  4. Step 4: Simplify right side
    279,322.49x = 57,531,543,153.71
  5. Step 5: Solve for x
    x = 57,531,543,153.71/279,322.49
  6. Step 6: Final answer
    x = 205,968.18

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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.