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Finding the Fourth Proportional to 426,194.43, 639,466.92 and 312,920.65

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Solution

The fourth proportional to 426,194.43, 639,466.92 and 312,920.65 is: 469,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,194.43 : 639,466.92 = 312,920.65 : x
  2. Step 2: Convert to fraction form
    426,194.43/639,466.92 = 312,920.65/x
  3. Step 3: Cross multiply
    426,194.43x = 639,466.92 × 312,920.65
  4. Step 4: Simplify right side
    426,194.43x = 200,102,405,059.23
  5. Step 5: Solve for x
    x = 200,102,405,059.23/426,194.43
  6. Step 6: Final answer
    x = 469,509.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.