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Finding the Fourth Proportional to 272,078.80, 407,311.80 and 202,267.60

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Solution

The fourth proportional to 272,078.80, 407,311.80 and 202,267.60 is: 302,801.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,078.80 : 407,311.80 = 202,267.60 : x
  2. Step 2: Convert to fraction form
    272,078.80/407,311.80 = 202,267.60/x
  3. Step 3: Cross multiply
    272,078.80x = 407,311.80 × 202,267.60
  4. Step 4: Simplify right side
    272,078.80x = 82,385,980,237.68
  5. Step 5: Solve for x
    x = 82,385,980,237.68/272,078.80
  6. Step 6: Final answer
    x = 302,801.91

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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.