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Finding the Fourth Proportional to 289,349.27, 399,406.80 and 235,540.86

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Solution

The fourth proportional to 289,349.27, 399,406.80 and 235,540.86 is: 325,131.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,349.27 : 399,406.80 = 235,540.86 : x
  2. Step 2: Convert to fraction form
    289,349.27/399,406.80 = 235,540.86/x
  3. Step 3: Cross multiply
    289,349.27x = 399,406.80 × 235,540.86
  4. Step 4: Simplify right side
    289,349.27x = 94,076,621,161.85
  5. Step 5: Solve for x
    x = 94,076,621,161.85/289,349.27
  6. Step 6: Final answer
    x = 325,131.71

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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.