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Finding the Fourth Proportional to 268,114.20, 402,171.30 and 205,128.60

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Solution

The fourth proportional to 268,114.20, 402,171.30 and 205,128.60 is: 307,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,114.20 : 402,171.30 = 205,128.60 : x
  2. Step 2: Convert to fraction form
    268,114.20/402,171.30 = 205,128.60/x
  3. Step 3: Cross multiply
    268,114.20x = 402,171.30 × 205,128.60
  4. Step 4: Simplify right side
    268,114.20x = 82,496,835,729.18
  5. Step 5: Solve for x
    x = 82,496,835,729.18/268,114.20
  6. Step 6: Final answer
    x = 307,692.90

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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.