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Finding the Fourth Proportional to 281,504.86, 421,197.89 and 197,429.14

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Solution

The fourth proportional to 281,504.86, 421,197.89 and 197,429.14 is: 295,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,504.86 : 421,197.89 = 197,429.14 : x
  2. Step 2: Convert to fraction form
    281,504.86/421,197.89 = 197,429.14/x
  3. Step 3: Cross multiply
    281,504.86x = 421,197.89 × 197,429.14
  4. Step 4: Simplify right side
    281,504.86x = 83,156,735,152.37
  5. Step 5: Solve for x
    x = 83,156,735,152.37/281,504.86
  6. Step 6: Final answer
    x = 295,400.71

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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.