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Finding the Fourth Proportional to 523,816.36, 786,067.14 and 287,325.52

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Solution

The fourth proportional to 523,816.36, 786,067.14 and 287,325.52 is: 431,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,816.36 : 786,067.14 = 287,325.52 : x
  2. Step 2: Convert to fraction form
    523,816.36/786,067.14 = 287,325.52/x
  3. Step 3: Cross multiply
    523,816.36x = 786,067.14 × 287,325.52
  4. Step 4: Simplify right side
    523,816.36x = 225,857,149,755.41
  5. Step 5: Solve for x
    x = 225,857,149,755.41/523,816.36
  6. Step 6: Final answer
    x = 431,176.20

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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.