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Finding the Fourth Proportional to 645,138.40, 967,246.80 and 289,861.60

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Solution

The fourth proportional to 645,138.40, 967,246.80 and 289,861.60 is: 434,585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,138.40 : 967,246.80 = 289,861.60 : x
  2. Step 2: Convert to fraction form
    645,138.40/967,246.80 = 289,861.60/x
  3. Step 3: Cross multiply
    645,138.40x = 967,246.80 × 289,861.60
  4. Step 4: Simplify right side
    645,138.40x = 280,367,705,042.88
  5. Step 5: Solve for x
    x = 280,367,705,042.88/645,138.40
  6. Step 6: Final answer
    x = 434,585.36

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1.5x scale

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.