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Finding the Fourth Proportional to 405,406.40, 607,279.26 and 227,539.94

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Solution

The fourth proportional to 405,406.40, 607,279.26 and 227,539.94 is: 340,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,406.40 : 607,279.26 = 227,539.94 : x
  2. Step 2: Convert to fraction form
    405,406.40/607,279.26 = 227,539.94/x
  3. Step 3: Cross multiply
    405,406.40x = 607,279.26 × 227,539.94
  4. Step 4: Simplify right side
    405,406.40x = 138,180,286,383.64
  5. Step 5: Solve for x
    x = 138,180,286,383.64/405,406.40
  6. Step 6: Final answer
    x = 340,843.87

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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.