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Finding the Fourth Proportional to 846,416, 1,269,698.52 and 313,942.88

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Solution

The fourth proportional to 846,416, 1,269,698.52 and 313,942.88 is: 470,941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,416 : 1,269,698.52 = 313,942.88 : x
  2. Step 2: Convert to fraction form
    846,416/1,269,698.52 = 313,942.88/x
  3. Step 3: Cross multiply
    846,416x = 1,269,698.52 × 313,942.88
  4. Step 4: Simplify right side
    846,416x = 398,612,810,100.54
  5. Step 5: Solve for x
    x = 398,612,810,100.54/846,416
  6. Step 6: Final answer
    x = 470,941.96

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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.