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Finding the Fourth Proportional to 213,685.70, 320,245.45 and 113,630.45

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Solution

The fourth proportional to 213,685.70, 320,245.45 and 113,630.45 is: 170,295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,685.70 : 320,245.45 = 113,630.45 : x
  2. Step 2: Convert to fraction form
    213,685.70/320,245.45 = 113,630.45/x
  3. Step 3: Cross multiply
    213,685.70x = 320,245.45 × 113,630.45
  4. Step 4: Simplify right side
    213,685.70x = 36,389,632,708.65
  5. Step 5: Solve for x
    x = 36,389,632,708.65/213,685.70
  6. Step 6: Final answer
    x = 170,295.13

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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.