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Finding the Fourth Proportional to 490,010.40, 734,842.80 and 223,898.40

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Solution

The fourth proportional to 490,010.40, 734,842.80 and 223,898.40 is: 335,768.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,010.40 : 734,842.80 = 223,898.40 : x
  2. Step 2: Convert to fraction form
    490,010.40/734,842.80 = 223,898.40/x
  3. Step 3: Cross multiply
    490,010.40x = 734,842.80 × 223,898.40
  4. Step 4: Simplify right side
    490,010.40x = 164,530,127,171.52
  5. Step 5: Solve for x
    x = 164,530,127,171.52/490,010.40
  6. Step 6: Final answer
    x = 335,768.64

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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.