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Finding the Fourth Proportional to 511,081.80, 705,297.54 and 281,647.32

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Solution

The fourth proportional to 511,081.80, 705,297.54 and 281,647.32 is: 388,675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,081.80 : 705,297.54 = 281,647.32 : x
  2. Step 2: Convert to fraction form
    511,081.80/705,297.54 = 281,647.32/x
  3. Step 3: Cross multiply
    511,081.80x = 705,297.54 × 281,647.32
  4. Step 4: Simplify right side
    511,081.80x = 198,645,160,354.90
  5. Step 5: Solve for x
    x = 198,645,160,354.90/511,081.80
  6. Step 6: Final answer
    x = 388,675.86

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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.