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Finding the Fourth Proportional to 303,692.82, 419,584.26 and 258,844.74

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Solution

The fourth proportional to 303,692.82, 419,584.26 and 258,844.74 is: 357,621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,692.82 : 419,584.26 = 258,844.74 : x
  2. Step 2: Convert to fraction form
    303,692.82/419,584.26 = 258,844.74/x
  3. Step 3: Cross multiply
    303,692.82x = 419,584.26 × 258,844.74
  4. Step 4: Simplify right side
    303,692.82x = 108,607,178,687.79
  5. Step 5: Solve for x
    x = 108,607,178,687.79/303,692.82
  6. Step 6: Final answer
    x = 357,621.82

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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.