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Finding the Fourth Proportional to 511,804.84, 706,291.62 and 285,464.92

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Solution

The fourth proportional to 511,804.84, 706,291.62 and 285,464.92 is: 393,942.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,804.84 : 706,291.62 = 285,464.92 : x
  2. Step 2: Convert to fraction form
    511,804.84/706,291.62 = 285,464.92/x
  3. Step 3: Cross multiply
    511,804.84x = 706,291.62 × 285,464.92
  4. Step 4: Simplify right side
    511,804.84x = 201,621,480,799.97
  5. Step 5: Solve for x
    x = 201,621,480,799.97/511,804.84
  6. Step 6: Final answer
    x = 393,942.11

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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.