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Finding the Fourth Proportional to 383,686.86, 529,491.29 and 211,611.48

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Solution

The fourth proportional to 383,686.86, 529,491.29 and 211,611.48 is: 292,025.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,686.86 : 529,491.29 = 211,611.48 : x
  2. Step 2: Convert to fraction form
    383,686.86/529,491.29 = 211,611.48/x
  3. Step 3: Cross multiply
    383,686.86x = 529,491.29 × 211,611.48
  4. Step 4: Simplify right side
    383,686.86x = 112,046,435,524.01
  5. Step 5: Solve for x
    x = 112,046,435,524.01/383,686.86
  6. Step 6: Final answer
    x = 292,025.73

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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.