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Finding the Fourth Proportional to 279,187.84, 418,538.76 and 179,376.40

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Solution

The fourth proportional to 279,187.84, 418,538.76 and 179,376.40 is: 268,908.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,187.84 : 418,538.76 = 179,376.40 : x
  2. Step 2: Convert to fraction form
    279,187.84/418,538.76 = 179,376.40/x
  3. Step 3: Cross multiply
    279,187.84x = 418,538.76 × 179,376.40
  4. Step 4: Simplify right side
    279,187.84x = 75,075,976,029.26
  5. Step 5: Solve for x
    x = 75,075,976,029.26/279,187.84
  6. Step 6: Final answer
    x = 268,908.47

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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.