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Finding the Fourth Proportional to 355,072.50, 490,014.63 and 204,169.50

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Solution

The fourth proportional to 355,072.50, 490,014.63 and 204,169.50 is: 281,762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,072.50 : 490,014.63 = 204,169.50 : x
  2. Step 2: Convert to fraction form
    355,072.50/490,014.63 = 204,169.50/x
  3. Step 3: Cross multiply
    355,072.50x = 490,014.63 × 204,169.50
  4. Step 4: Simplify right side
    355,072.50x = 100,046,041,999.79
  5. Step 5: Solve for x
    x = 100,046,041,999.79/355,072.50
  6. Step 6: Final answer
    x = 281,762.29

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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.