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Finding the Fourth Proportional to 383,782.72, 529,607.20 and 211,707.56

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Solution

The fourth proportional to 383,782.72, 529,607.20 and 211,707.56 is: 292,149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,782.72 : 529,607.20 = 211,707.56 : x
  2. Step 2: Convert to fraction form
    383,782.72/529,607.20 = 211,707.56/x
  3. Step 3: Cross multiply
    383,782.72x = 529,607.20 × 211,707.56
  4. Step 4: Simplify right side
    383,782.72x = 112,121,848,070.43
  5. Step 5: Solve for x
    x = 112,121,848,070.43/383,782.72
  6. Step 6: Final answer
    x = 292,149.29

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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.