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Finding the Fourth Proportional to 216,404.80, 324,914.40 and 133,460.80

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Solution

The fourth proportional to 216,404.80, 324,914.40 and 133,460.80 is: 200,380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,404.80 : 324,914.40 = 133,460.80 : x
  2. Step 2: Convert to fraction form
    216,404.80/324,914.40 = 133,460.80/x
  3. Step 3: Cross multiply
    216,404.80x = 324,914.40 × 133,460.80
  4. Step 4: Simplify right side
    216,404.80x = 43,363,335,755.52
  5. Step 5: Solve for x
    x = 43,363,335,755.52/216,404.80
  6. Step 6: Final answer
    x = 200,380.66

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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.