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Finding the Fourth Proportional to 268,721.70, 403,069.26 and 100,228.89

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Solution

The fourth proportional to 268,721.70, 403,069.26 and 100,228.89 is: 150,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,721.70 : 403,069.26 = 100,228.89 : x
  2. Step 2: Convert to fraction form
    268,721.70/403,069.26 = 100,228.89/x
  3. Step 3: Cross multiply
    268,721.70x = 403,069.26 × 100,228.89
  4. Step 4: Simplify right side
    268,721.70x = 40,399,184,522.92
  5. Step 5: Solve for x
    x = 40,399,184,522.92/268,721.70
  6. Step 6: Final answer
    x = 150,338.38

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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.