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Finding the Fourth Proportional to 347,941.80, 480,199.41 and 195,021.21

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Solution

The fourth proportional to 347,941.80, 480,199.41 and 195,021.21 is: 269,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,941.80 : 480,199.41 = 195,021.21 : x
  2. Step 2: Convert to fraction form
    347,941.80/480,199.41 = 195,021.21/x
  3. Step 3: Cross multiply
    347,941.80x = 480,199.41 × 195,021.21
  4. Step 4: Simplify right side
    347,941.80x = 93,649,069,979.49
  5. Step 5: Solve for x
    x = 93,649,069,979.49/347,941.80
  6. Step 6: Final answer
    x = 269,151.54

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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.