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Finding the Fourth Proportional to 357,986.50, 494,008.74 and 196,840.42

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Solution

The fourth proportional to 357,986.50, 494,008.74 and 196,840.42 is: 271,632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,986.50 : 494,008.74 = 196,840.42 : x
  2. Step 2: Convert to fraction form
    357,986.50/494,008.74 = 196,840.42/x
  3. Step 3: Cross multiply
    357,986.50x = 494,008.74 × 196,840.42
  4. Step 4: Simplify right side
    357,986.50x = 97,240,887,865.27
  5. Step 5: Solve for x
    x = 97,240,887,865.27/357,986.50
  6. Step 6: Final answer
    x = 271,632.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.