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Finding the Fourth Proportional to 405,074.20, 607,319.70 and 227,635.60

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Solution

The fourth proportional to 405,074.20, 607,319.70 and 227,635.60 is: 341,289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,074.20 : 607,319.70 = 227,635.60 : x
  2. Step 2: Convert to fraction form
    405,074.20/607,319.70 = 227,635.60/x
  3. Step 3: Cross multiply
    405,074.20x = 607,319.70 × 227,635.60
  4. Step 4: Simplify right side
    405,074.20x = 138,247,584,301.32
  5. Step 5: Solve for x
    x = 138,247,584,301.32/405,074.20
  6. Step 6: Final answer
    x = 341,289.53

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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.