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Finding the Fourth Proportional to 311,261.70, 465,817.35 and 186,692.10

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Solution

The fourth proportional to 311,261.70, 465,817.35 and 186,692.10 is: 279,393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,261.70 : 465,817.35 = 186,692.10 : x
  2. Step 2: Convert to fraction form
    311,261.70/465,817.35 = 186,692.10/x
  3. Step 3: Cross multiply
    311,261.70x = 465,817.35 × 186,692.10
  4. Step 4: Simplify right side
    311,261.70x = 86,964,419,287.94
  5. Step 5: Solve for x
    x = 86,964,419,287.94/311,261.70
  6. Step 6: Final answer
    x = 279,393.25

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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.