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Finding the Fourth Proportional to 490,835.60, 735,216.60 and 407,891.60

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Solution

The fourth proportional to 490,835.60, 735,216.60 and 407,891.60 is: 610,975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,835.60 : 735,216.60 = 407,891.60 : x
  2. Step 2: Convert to fraction form
    490,835.60/735,216.60 = 407,891.60/x
  3. Step 3: Cross multiply
    490,835.60x = 735,216.60 × 407,891.60
  4. Step 4: Simplify right side
    490,835.60x = 299,888,675,320.56
  5. Step 5: Solve for x
    x = 299,888,675,320.56/490,835.60
  6. Step 6: Final answer
    x = 610,975.80

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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.