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Finding the Fourth Proportional to 305,847.99, 421,900.20 and 284,198.58

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Solution

The fourth proportional to 305,847.99, 421,900.20 and 284,198.58 is: 392,036.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,847.99 : 421,900.20 = 284,198.58 : x
  2. Step 2: Convert to fraction form
    305,847.99/421,900.20 = 284,198.58/x
  3. Step 3: Cross multiply
    305,847.99x = 421,900.20 × 284,198.58
  4. Step 4: Simplify right side
    305,847.99x = 119,903,437,741.72
  5. Step 5: Solve for x
    x = 119,903,437,741.72/305,847.99
  6. Step 6: Final answer
    x = 392,036.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.