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Finding the Fourth Proportional to 268,120.48, 401,817.84 and 101,817.76

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Solution

The fourth proportional to 268,120.48, 401,817.84 and 101,817.76 is: 152,588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,120.48 : 401,817.84 = 101,817.76 : x
  2. Step 2: Convert to fraction form
    268,120.48/401,817.84 = 101,817.76/x
  3. Step 3: Cross multiply
    268,120.48x = 401,817.84 × 101,817.76
  4. Step 4: Simplify right side
    268,120.48x = 40,912,192,396.84
  5. Step 5: Solve for x
    x = 40,912,192,396.84/268,120.48
  6. Step 6: Final answer
    x = 152,588.84

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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.