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Finding the Fourth Proportional to 568,597.36, 784,640.64 and 310,453.60

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Solution

The fourth proportional to 568,597.36, 784,640.64 and 310,453.60 is: 428,413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,597.36 : 784,640.64 = 310,453.60 : x
  2. Step 2: Convert to fraction form
    568,597.36/784,640.64 = 310,453.60/x
  3. Step 3: Cross multiply
    568,597.36x = 784,640.64 × 310,453.60
  4. Step 4: Simplify right side
    568,597.36x = 243,594,511,394.30
  5. Step 5: Solve for x
    x = 243,594,511,394.30/568,597.36
  6. Step 6: Final answer
    x = 428,413.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.