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Finding the Fourth Proportional to 419,101.20, 578,327.40 and 228,110.40

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Solution

The fourth proportional to 419,101.20, 578,327.40 and 228,110.40 is: 314,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,101.20 : 578,327.40 = 228,110.40 : x
  2. Step 2: Convert to fraction form
    419,101.20/578,327.40 = 228,110.40/x
  3. Step 3: Cross multiply
    419,101.20x = 578,327.40 × 228,110.40
  4. Step 4: Simplify right side
    419,101.20x = 131,922,494,544.96
  5. Step 5: Solve for x
    x = 131,922,494,544.96/419,101.20
  6. Step 6: Final answer
    x = 314,774.80

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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.