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Finding the Fourth Proportional to 231,971.20, 325,692.80 and 231,971.20

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Solution

The fourth proportional to 231,971.20, 325,692.80 and 231,971.20 is: 325,692.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,971.20 : 325,692.80 = 231,971.20 : x
  2. Step 2: Convert to fraction form
    231,971.20/325,692.80 = 231,971.20/x
  3. Step 3: Cross multiply
    231,971.20x = 325,692.80 × 231,971.20
  4. Step 4: Simplify right side
    231,971.20x = 75,551,349,647.36
  5. Step 5: Solve for x
    x = 75,551,349,647.36/231,971.20
  6. Step 6: Final answer
    x = 325,692.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.