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Finding the Fourth Proportional to 280,927.53, 421,380.11 and 154,817.82

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Solution

The fourth proportional to 280,927.53, 421,380.11 and 154,817.82 is: 232,220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,927.53 : 421,380.11 = 154,817.82 : x
  2. Step 2: Convert to fraction form
    280,927.53/421,380.11 = 154,817.82/x
  3. Step 3: Cross multiply
    280,927.53x = 421,380.11 × 154,817.82
  4. Step 4: Simplify right side
    280,927.53x = 65,237,149,247.47
  5. Step 5: Solve for x
    x = 65,237,149,247.47/280,927.53
  6. Step 6: Final answer
    x = 232,220.56

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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.