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Finding the Fourth Proportional to 285,260.80, 393,726 and 189,771.52

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Solution

The fourth proportional to 285,260.80, 393,726 and 189,771.52 is: 261,928.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,260.80 : 393,726 = 189,771.52 : x
  2. Step 2: Convert to fraction form
    285,260.80/393,726 = 189,771.52/x
  3. Step 3: Cross multiply
    285,260.80x = 393,726 × 189,771.52
  4. Step 4: Simplify right side
    285,260.80x = 74,717,981,483.52
  5. Step 5: Solve for x
    x = 74,717,981,483.52/285,260.80
  6. Step 6: Final answer
    x = 261,928.67

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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.