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Finding the Fourth Proportional to 214,455, 321,682.51 and 146,920.44

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Solution

The fourth proportional to 214,455, 321,682.51 and 146,920.44 is: 220,380.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,455 : 321,682.51 = 146,920.44 : x
  2. Step 2: Convert to fraction form
    214,455/321,682.51 = 146,920.44/x
  3. Step 3: Cross multiply
    214,455x = 321,682.51 × 146,920.44
  4. Step 4: Simplify right side
    214,455x = 47,261,735,909.50
  5. Step 5: Solve for x
    x = 47,261,735,909.50/214,455
  6. Step 6: Final answer
    x = 220,380.67

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1.5x scale

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.