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Finding the Fourth Proportional to 340,800, 470,284.44 and 195,575.04

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Solution

The fourth proportional to 340,800, 470,284.44 and 195,575.04 is: 269,882.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,800 : 470,284.44 = 195,575.04 : x
  2. Step 2: Convert to fraction form
    340,800/470,284.44 = 195,575.04/x
  3. Step 3: Cross multiply
    340,800x = 470,284.44 × 195,575.04
  4. Step 4: Simplify right side
    340,800x = 91,975,898,164.38
  5. Step 5: Solve for x
    x = 91,975,898,164.38/340,800
  6. Step 6: Final answer
    x = 269,882.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.