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Finding the Fourth Proportional to 421,298.42, 632,107.23 and 252,936.32

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Solution

The fourth proportional to 421,298.42, 632,107.23 and 252,936.32 is: 379,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,298.42 : 632,107.23 = 252,936.32 : x
  2. Step 2: Convert to fraction form
    421,298.42/632,107.23 = 252,936.32/x
  3. Step 3: Cross multiply
    421,298.42x = 632,107.23 × 252,936.32
  4. Step 4: Simplify right side
    421,298.42x = 159,882,876,601.59
  5. Step 5: Solve for x
    x = 159,882,876,601.59/421,298.42
  6. Step 6: Final answer
    x = 379,500.30

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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.