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Finding the Fourth Proportional to 511,830.36, 706,341.06 and 285,471

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Solution

The fourth proportional to 511,830.36, 706,341.06 and 285,471 is: 393,958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,830.36 : 706,341.06 = 285,471 : x
  2. Step 2: Convert to fraction form
    511,830.36/706,341.06 = 285,471/x
  3. Step 3: Cross multiply
    511,830.36x = 706,341.06 × 285,471
  4. Step 4: Simplify right side
    511,830.36x = 201,639,888,739.26
  5. Step 5: Solve for x
    x = 201,639,888,739.26/511,830.36
  6. Step 6: Final answer
    x = 393,958.44

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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.