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Finding the Fourth Proportional to 511,125.32, 705,357.74 and 281,691

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Solution

The fourth proportional to 511,125.32, 705,357.74 and 281,691 is: 388,736.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,125.32 : 705,357.74 = 281,691 : x
  2. Step 2: Convert to fraction form
    511,125.32/705,357.74 = 281,691/x
  3. Step 3: Cross multiply
    511,125.32x = 705,357.74 × 281,691
  4. Step 4: Simplify right side
    511,125.32x = 198,692,927,842.57
  5. Step 5: Solve for x
    x = 198,692,927,842.57/511,125.32
  6. Step 6: Final answer
    x = 388,736.22

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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.