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Finding the Fourth Proportional to 383,427.74, 529,068.02 and 222,251.28

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Solution

The fourth proportional to 383,427.74, 529,068.02 and 222,251.28 is: 306,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,427.74 : 529,068.02 = 222,251.28 : x
  2. Step 2: Convert to fraction form
    383,427.74/529,068.02 = 222,251.28/x
  3. Step 3: Cross multiply
    383,427.74x = 529,068.02 × 222,251.28
  4. Step 4: Simplify right side
    383,427.74x = 117,586,043,540.81
  5. Step 5: Solve for x
    x = 117,586,043,540.81/383,427.74
  6. Step 6: Final answer
    x = 306,670.68

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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.