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Finding the Fourth Proportional to 315,728.46, 435,705.12 and 179,755.38

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Solution

The fourth proportional to 315,728.46, 435,705.12 and 179,755.38 is: 248,062.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,728.46 : 435,705.12 = 179,755.38 : x
  2. Step 2: Convert to fraction form
    315,728.46/435,705.12 = 179,755.38/x
  3. Step 3: Cross multiply
    315,728.46x = 435,705.12 × 179,755.38
  4. Step 4: Simplify right side
    315,728.46x = 78,320,339,413.55
  5. Step 5: Solve for x
    x = 78,320,339,413.55/315,728.46
  6. Step 6: Final answer
    x = 248,062.34

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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.