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Finding the Fourth Proportional to 515,408.10, 772,105.23 and 355,105.86

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Solution

The fourth proportional to 515,408.10, 772,105.23 and 355,105.86 is: 531,965.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,408.10 : 772,105.23 = 355,105.86 : x
  2. Step 2: Convert to fraction form
    515,408.10/772,105.23 = 355,105.86/x
  3. Step 3: Cross multiply
    515,408.10x = 772,105.23 × 355,105.86
  4. Step 4: Simplify right side
    515,408.10x = 274,179,091,709.65
  5. Step 5: Solve for x
    x = 274,179,091,709.65/515,408.10
  6. Step 6: Final answer
    x = 531,965.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.