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Finding the Fourth Proportional to 419,073.56, 578,333.78 and 228,099.32

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Solution

The fourth proportional to 419,073.56, 578,333.78 and 228,099.32 is: 314,783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,073.56 : 578,333.78 = 228,099.32 : x
  2. Step 2: Convert to fraction form
    419,073.56/578,333.78 = 228,099.32/x
  3. Step 3: Cross multiply
    419,073.56x = 578,333.78 × 228,099.32
  4. Step 4: Simplify right side
    419,073.56x = 131,917,541,951.03
  5. Step 5: Solve for x
    x = 131,917,541,951.03/419,073.56
  6. Step 6: Final answer
    x = 314,783.74

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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.