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Finding the Fourth Proportional to 321,619.60, 482,947.80 and 242,822.80

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Solution

The fourth proportional to 321,619.60, 482,947.80 and 242,822.80 is: 364,625.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,619.60 : 482,947.80 = 242,822.80 : x
  2. Step 2: Convert to fraction form
    321,619.60/482,947.80 = 242,822.80/x
  3. Step 3: Cross multiply
    321,619.60x = 482,947.80 × 242,822.80
  4. Step 4: Simplify right side
    321,619.60x = 117,270,737,049.84
  5. Step 5: Solve for x
    x = 117,270,737,049.84/321,619.60
  6. Step 6: Final answer
    x = 364,625.59

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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.