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Finding the Fourth Proportional to 511,759, 706,227.42 and 285,399.64

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Solution

The fourth proportional to 511,759, 706,227.42 and 285,399.64 is: 393,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,759 : 706,227.42 = 285,399.64 : x
  2. Step 2: Convert to fraction form
    511,759/706,227.42 = 285,399.64/x
  3. Step 3: Cross multiply
    511,759x = 706,227.42 × 285,399.64
  4. Step 4: Simplify right side
    511,759x = 201,557,051,426.13
  5. Step 5: Solve for x
    x = 201,557,051,426.13/511,759
  6. Step 6: Final answer
    x = 393,851.50

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1.5x scale

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.