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Finding the Fourth Proportional to 203,530.40, 305,295.60 and 164,164.40

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Solution

The fourth proportional to 203,530.40, 305,295.60 and 164,164.40 is: 246,246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,530.40 : 305,295.60 = 164,164.40 : x
  2. Step 2: Convert to fraction form
    203,530.40/305,295.60 = 164,164.40/x
  3. Step 3: Cross multiply
    203,530.40x = 305,295.60 × 164,164.40
  4. Step 4: Simplify right side
    203,530.40x = 50,118,668,996.64
  5. Step 5: Solve for x
    x = 50,118,668,996.64/203,530.40
  6. Step 6: Final answer
    x = 246,246.60

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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.