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Finding the Fourth Proportional to 418,977.78, 578,201.49 and 228,003.48

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Solution

The fourth proportional to 418,977.78, 578,201.49 and 228,003.48 is: 314,651.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,977.78 : 578,201.49 = 228,003.48 : x
  2. Step 2: Convert to fraction form
    418,977.78/578,201.49 = 228,003.48/x
  3. Step 3: Cross multiply
    418,977.78x = 578,201.49 × 228,003.48
  4. Step 4: Simplify right side
    418,977.78x = 131,831,951,861.19
  5. Step 5: Solve for x
    x = 131,831,951,861.19/418,977.78
  6. Step 6: Final answer
    x = 314,651.42

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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.