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Finding the Fourth Proportional to 511,300.28, 765,578.72 and 286,019.16

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Solution

The fourth proportional to 511,300.28, 765,578.72 and 286,019.16 is: 428,261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,300.28 : 765,578.72 = 286,019.16 : x
  2. Step 2: Convert to fraction form
    511,300.28/765,578.72 = 286,019.16/x
  3. Step 3: Cross multiply
    511,300.28x = 765,578.72 × 286,019.16
  4. Step 4: Simplify right side
    511,300.28x = 218,970,182,408.28
  5. Step 5: Solve for x
    x = 218,970,182,408.28/511,300.28
  6. Step 6: Final answer
    x = 428,261.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.