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Finding the Fourth Proportional to 313,596.49, 470,425.75 and 100,310.86

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Solution

The fourth proportional to 313,596.49, 470,425.75 and 100,310.86 is: 150,476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,596.49 : 470,425.75 = 100,310.86 : x
  2. Step 2: Convert to fraction form
    313,596.49/470,425.75 = 100,310.86/x
  3. Step 3: Cross multiply
    313,596.49x = 470,425.75 × 100,310.86
  4. Step 4: Simplify right side
    313,596.49x = 47,188,809,521.88
  5. Step 5: Solve for x
    x = 47,188,809,521.88/313,596.49
  6. Step 6: Final answer
    x = 150,476.20

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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.