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Finding the Fourth Proportional to 522,323.08, 783,706.06 and 285,388.97

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Solution

The fourth proportional to 522,323.08, 783,706.06 and 285,388.97 is: 428,204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,323.08 : 783,706.06 = 285,388.97 : x
  2. Step 2: Convert to fraction form
    522,323.08/783,706.06 = 285,388.97/x
  3. Step 3: Cross multiply
    522,323.08x = 783,706.06 × 285,388.97
  4. Step 4: Simplify right side
    522,323.08x = 223,661,065,290.05
  5. Step 5: Solve for x
    x = 223,661,065,290.05/522,323.08
  6. Step 6: Final answer
    x = 428,204.44

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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.