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Finding the Fourth Proportional to 512,967.33, 769,464.06 and 243,032.20

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Solution

The fourth proportional to 512,967.33, 769,464.06 and 243,032.20 is: 364,554.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,967.33 : 769,464.06 = 243,032.20 : x
  2. Step 2: Convert to fraction form
    512,967.33/769,464.06 = 243,032.20/x
  3. Step 3: Cross multiply
    512,967.33x = 769,464.06 × 243,032.20
  4. Step 4: Simplify right side
    512,967.33x = 187,004,540,487.70
  5. Step 5: Solve for x
    x = 187,004,540,487.70/512,967.33
  6. Step 6: Final answer
    x = 364,554.48

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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.