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Finding the Fourth Proportional to 418,394.50, 577,388.22 and 227,408.34

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Solution

The fourth proportional to 418,394.50, 577,388.22 and 227,408.34 is: 313,825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,394.50 : 577,388.22 = 227,408.34 : x
  2. Step 2: Convert to fraction form
    418,394.50/577,388.22 = 227,408.34/x
  3. Step 3: Cross multiply
    418,394.50x = 577,388.22 × 227,408.34
  4. Step 4: Simplify right side
    418,394.50x = 131,302,897,958.18
  5. Step 5: Solve for x
    x = 131,302,897,958.18/418,394.50
  6. Step 6: Final answer
    x = 313,825.59

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1.5x scale

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.