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Finding the Fourth Proportional to 522,413.58, 783,915.66 and 222,865.86

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Solution

The fourth proportional to 522,413.58, 783,915.66 and 222,865.86 is: 334,424.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,413.58 : 783,915.66 = 222,865.86 : x
  2. Step 2: Convert to fraction form
    522,413.58/783,915.66 = 222,865.86/x
  3. Step 3: Cross multiply
    522,413.58x = 783,915.66 × 222,865.86
  4. Step 4: Simplify right side
    522,413.58x = 174,708,037,733.37
  5. Step 5: Solve for x
    x = 174,708,037,733.37/522,413.58
  6. Step 6: Final answer
    x = 334,424.76

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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.