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Finding the Fourth Proportional to 511,290.90, 705,621.74 and 281,888.78

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Solution

The fourth proportional to 511,290.90, 705,621.74 and 281,888.78 is: 389,028.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,290.90 : 705,621.74 = 281,888.78 : x
  2. Step 2: Convert to fraction form
    511,290.90/705,621.74 = 281,888.78/x
  3. Step 3: Cross multiply
    511,290.90x = 705,621.74 × 281,888.78
  4. Step 4: Simplify right side
    511,290.90x = 198,906,846,492.53
  5. Step 5: Solve for x
    x = 198,906,846,492.53/511,290.90
  6. Step 6: Final answer
    x = 389,028.72

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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.