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Finding the Fourth Proportional to 421,970.10, 632,517.74 and 263,835.42

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Solution

The fourth proportional to 421,970.10, 632,517.74 and 263,835.42 is: 395,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,970.10 : 632,517.74 = 263,835.42 : x
  2. Step 2: Convert to fraction form
    421,970.10/632,517.74 = 263,835.42/x
  3. Step 3: Cross multiply
    421,970.10x = 632,517.74 × 263,835.42
  4. Step 4: Simplify right side
    421,970.10x = 166,880,583,590.35
  5. Step 5: Solve for x
    x = 166,880,583,590.35/421,970.10
  6. Step 6: Final answer
    x = 395,479.64

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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.