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Finding the Fourth Proportional to 285,085.61, 393,413.12 and 164,226.53

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Solution

The fourth proportional to 285,085.61, 393,413.12 and 164,226.53 is: 226,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,085.61 : 393,413.12 = 164,226.53 : x
  2. Step 2: Convert to fraction form
    285,085.61/393,413.12 = 164,226.53/x
  3. Step 3: Cross multiply
    285,085.61x = 393,413.12 × 164,226.53
  4. Step 4: Simplify right side
    285,085.61x = 64,608,868,765.88
  5. Step 5: Solve for x
    x = 64,608,868,765.88/285,085.61
  6. Step 6: Final answer
    x = 226,629.71

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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.