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Finding the Fourth Proportional to 490,374.40, 735,561.60 and 436,921.60

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Solution

The fourth proportional to 490,374.40, 735,561.60 and 436,921.60 is: 655,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,374.40 : 735,561.60 = 436,921.60 : x
  2. Step 2: Convert to fraction form
    490,374.40/735,561.60 = 436,921.60/x
  3. Step 3: Cross multiply
    490,374.40x = 735,561.60 × 436,921.60
  4. Step 4: Simplify right side
    490,374.40x = 321,382,751,170.56
  5. Step 5: Solve for x
    x = 321,382,751,170.56/490,374.40
  6. Step 6: Final answer
    x = 655,382.40

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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.