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Finding the Fourth Proportional to 492,067.58, 678,971.03 and 274,228.67

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Solution

The fourth proportional to 492,067.58, 678,971.03 and 274,228.67 is: 378,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,067.58 : 678,971.03 = 274,228.67 : x
  2. Step 2: Convert to fraction form
    492,067.58/678,971.03 = 274,228.67/x
  3. Step 3: Cross multiply
    492,067.58x = 678,971.03 × 274,228.67
  4. Step 4: Simplify right side
    492,067.58x = 186,193,322,851.71
  5. Step 5: Solve for x
    x = 186,193,322,851.71/492,067.58
  6. Step 6: Final answer
    x = 378,389.74

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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.