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Finding the Fourth Proportional to 293,998.40, 440,997.60 and 214,294.40

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Solution

The fourth proportional to 293,998.40, 440,997.60 and 214,294.40 is: 321,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,998.40 : 440,997.60 = 214,294.40 : x
  2. Step 2: Convert to fraction form
    293,998.40/440,997.60 = 214,294.40/x
  3. Step 3: Cross multiply
    293,998.40x = 440,997.60 × 214,294.40
  4. Step 4: Simplify right side
    293,998.40x = 94,503,316,093.44
  5. Step 5: Solve for x
    x = 94,503,316,093.44/293,998.40
  6. Step 6: Final answer
    x = 321,441.60

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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.