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Finding the Fourth Proportional to 397,503, 548,554.14 and 227,835.54

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Solution

The fourth proportional to 397,503, 548,554.14 and 227,835.54 is: 314,413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,503 : 548,554.14 = 227,835.54 : x
  2. Step 2: Convert to fraction form
    397,503/548,554.14 = 227,835.54/x
  3. Step 3: Cross multiply
    397,503x = 548,554.14 × 227,835.54
  4. Step 4: Simplify right side
    397,503x = 124,980,128,706.14
  5. Step 5: Solve for x
    x = 124,980,128,706.14/397,503
  6. Step 6: Final answer
    x = 314,413.05

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1.5x scale

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.