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Finding the Fourth Proportional to 421,969.10, 632,516.24 and 263,834.42

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Solution

The fourth proportional to 421,969.10, 632,516.24 and 263,834.42 is: 395,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,969.10 : 632,516.24 = 263,834.42 : x
  2. Step 2: Convert to fraction form
    421,969.10/632,516.24 = 263,834.42/x
  3. Step 3: Cross multiply
    421,969.10x = 632,516.24 × 263,834.42
  4. Step 4: Simplify right side
    421,969.10x = 166,879,552,817.99
  5. Step 5: Solve for x
    x = 166,879,552,817.99/421,969.10
  6. Step 6: Final answer
    x = 395,478.14

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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.