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Finding the Fourth Proportional to 272,077.80, 407,310.30 and 202,266.60

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Solution

The fourth proportional to 272,077.80, 407,310.30 and 202,266.60 is: 302,800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,077.80 : 407,310.30 = 202,266.60 : x
  2. Step 2: Convert to fraction form
    272,077.80/407,310.30 = 202,266.60/x
  3. Step 3: Cross multiply
    272,077.80x = 407,310.30 × 202,266.60
  4. Step 4: Simplify right side
    272,077.80x = 82,385,269,525.98
  5. Step 5: Solve for x
    x = 82,385,269,525.98/272,077.80
  6. Step 6: Final answer
    x = 302,800.41

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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.