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Finding the Fourth Proportional to 222,157.74, 306,258.78 and 158,384.82

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Solution

The fourth proportional to 222,157.74, 306,258.78 and 158,384.82 is: 218,343.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,157.74 : 306,258.78 = 158,384.82 : x
  2. Step 2: Convert to fraction form
    222,157.74/306,258.78 = 158,384.82/x
  3. Step 3: Cross multiply
    222,157.74x = 306,258.78 × 158,384.82
  4. Step 4: Simplify right side
    222,157.74x = 48,506,741,743.72
  5. Step 5: Solve for x
    x = 48,506,741,743.72/222,157.74
  6. Step 6: Final answer
    x = 218,343.69

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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.