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Finding the Fourth Proportional to 313,857.20, 470,785.80 and 194,009.60

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Solution

The fourth proportional to 313,857.20, 470,785.80 and 194,009.60 is: 291,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,857.20 : 470,785.80 = 194,009.60 : x
  2. Step 2: Convert to fraction form
    313,857.20/470,785.80 = 194,009.60/x
  3. Step 3: Cross multiply
    313,857.20x = 470,785.80 × 194,009.60
  4. Step 4: Simplify right side
    313,857.20x = 91,336,964,743.68
  5. Step 5: Solve for x
    x = 91,336,964,743.68/313,857.20
  6. Step 6: Final answer
    x = 291,014.40

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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.