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Finding the Fourth Proportional to 280,817.99, 421,600.67 and 147,791.67

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Solution

The fourth proportional to 280,817.99, 421,600.67 and 147,791.67 is: 221,884.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,817.99 : 421,600.67 = 147,791.67 : x
  2. Step 2: Convert to fraction form
    280,817.99/421,600.67 = 147,791.67/x
  3. Step 3: Cross multiply
    280,817.99x = 421,600.67 × 147,791.67
  4. Step 4: Simplify right side
    280,817.99x = 62,309,067,092.42
  5. Step 5: Solve for x
    x = 62,309,067,092.42/280,817.99
  6. Step 6: Final answer
    x = 221,884.17

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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.