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Finding the Fourth Proportional to 808,212.40, 1,212,464.40 and 407,845.60

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Solution

The fourth proportional to 808,212.40, 1,212,464.40 and 407,845.60 is: 611,841.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,212.40 : 1,212,464.40 = 407,845.60 : x
  2. Step 2: Convert to fraction form
    808,212.40/1,212,464.40 = 407,845.60/x
  3. Step 3: Cross multiply
    808,212.40x = 1,212,464.40 × 407,845.60
  4. Step 4: Simplify right side
    808,212.40x = 494,498,270,696.64
  5. Step 5: Solve for x
    x = 494,498,270,696.64/808,212.40
  6. Step 6: Final answer
    x = 611,841.97

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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.