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Finding the Fourth Proportional to 218,898, 301,475.16 and 188,672.16

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Solution

The fourth proportional to 218,898, 301,475.16 and 188,672.16 is: 259,846.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,898 : 301,475.16 = 188,672.16 : x
  2. Step 2: Convert to fraction form
    218,898/301,475.16 = 188,672.16/x
  3. Step 3: Cross multiply
    218,898x = 301,475.16 × 188,672.16
  4. Step 4: Simplify right side
    218,898x = 56,879,969,623.55
  5. Step 5: Solve for x
    x = 56,879,969,623.55/218,898
  6. Step 6: Final answer
    x = 259,846.91

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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.