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Finding the Fourth Proportional to 222,173.76, 306,280.80 and 158,400.80

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Solution

The fourth proportional to 222,173.76, 306,280.80 and 158,400.80 is: 218,365.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,173.76 : 306,280.80 = 158,400.80 : x
  2. Step 2: Convert to fraction form
    222,173.76/306,280.80 = 158,400.80/x
  3. Step 3: Cross multiply
    222,173.76x = 306,280.80 × 158,400.80
  4. Step 4: Simplify right side
    222,173.76x = 48,515,123,744.64
  5. Step 5: Solve for x
    x = 48,515,123,744.64/222,173.76
  6. Step 6: Final answer
    x = 218,365.68

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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.