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Finding the Fourth Proportional to 303,442.71, 417,627.40 and 222,742.41

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Solution

The fourth proportional to 303,442.71, 417,627.40 and 222,742.41 is: 306,559.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,442.71 : 417,627.40 = 222,742.41 : x
  2. Step 2: Convert to fraction form
    303,442.71/417,627.40 = 222,742.41/x
  3. Step 3: Cross multiply
    303,442.71x = 417,627.40 × 222,742.41
  4. Step 4: Simplify right side
    303,442.71x = 93,023,333,558.03
  5. Step 5: Solve for x
    x = 93,023,333,558.03/303,442.71
  6. Step 6: Final answer
    x = 306,559.79

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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.