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Finding the Fourth Proportional to 383,834.50, 529,691.64 and 214,064.98

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Solution

The fourth proportional to 383,834.50, 529,691.64 and 214,064.98 is: 295,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,834.50 : 529,691.64 = 214,064.98 : x
  2. Step 2: Convert to fraction form
    383,834.50/529,691.64 = 214,064.98/x
  3. Step 3: Cross multiply
    383,834.50x = 529,691.64 × 214,064.98
  4. Step 4: Simplify right side
    383,834.50x = 113,388,430,322.77
  5. Step 5: Solve for x
    x = 113,388,430,322.77/383,834.50
  6. Step 6: Final answer
    x = 295,409.69

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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.