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Finding the Fourth Proportional to 228,312, 342,469.08 and 80,568

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Solution

The fourth proportional to 228,312, 342,469.08 and 80,568 is: 120,852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,312 : 342,469.08 = 80,568 : x
  2. Step 2: Convert to fraction form
    228,312/342,469.08 = 80,568/x
  3. Step 3: Cross multiply
    228,312x = 342,469.08 × 80,568
  4. Step 4: Simplify right side
    228,312x = 27,592,048,837.44
  5. Step 5: Solve for x
    x = 27,592,048,837.44/228,312
  6. Step 6: Final answer
    x = 120,852.38

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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.