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Finding the Fourth Proportional to 512,631.74, 768,509.73 and 362,399.42

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Solution

The fourth proportional to 512,631.74, 768,509.73 and 362,399.42 is: 543,289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,631.74 : 768,509.73 = 362,399.42 : x
  2. Step 2: Convert to fraction form
    512,631.74/768,509.73 = 362,399.42/x
  3. Step 3: Cross multiply
    512,631.74x = 768,509.73 × 362,399.42
  4. Step 4: Simplify right side
    512,631.74x = 278,507,480,416.36
  5. Step 5: Solve for x
    x = 278,507,480,416.36/512,631.74
  6. Step 6: Final answer
    x = 543,289.58

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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.