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Finding the Fourth Proportional to 511,972.10, 706,521.80 and 285,617.60

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Solution

The fourth proportional to 511,972.10, 706,521.80 and 285,617.60 is: 394,152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,972.10 : 706,521.80 = 285,617.60 : x
  2. Step 2: Convert to fraction form
    511,972.10/706,521.80 = 285,617.60/x
  3. Step 3: Cross multiply
    511,972.10x = 706,521.80 × 285,617.60
  4. Step 4: Simplify right side
    511,972.10x = 201,795,060,863.68
  5. Step 5: Solve for x
    x = 201,795,060,863.68/511,972.10
  6. Step 6: Final answer
    x = 394,152.46

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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.