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Finding the Fourth Proportional to 421,497.08, 632,453.21 and 196,824.86

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Solution

The fourth proportional to 421,497.08, 632,453.21 and 196,824.86 is: 295,334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,497.08 : 632,453.21 = 196,824.86 : x
  2. Step 2: Convert to fraction form
    421,497.08/632,453.21 = 196,824.86/x
  3. Step 3: Cross multiply
    421,497.08x = 632,453.21 × 196,824.86
  4. Step 4: Simplify right side
    421,497.08x = 124,482,515,525.16
  5. Step 5: Solve for x
    x = 124,482,515,525.16/421,497.08
  6. Step 6: Final answer
    x = 295,334.23

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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.