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Finding the Fourth Proportional to 512,369.57, 768,582.36 and 212,880.42

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Solution

The fourth proportional to 512,369.57, 768,582.36 and 212,880.42 is: 319,332.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,369.57 : 768,582.36 = 212,880.42 : x
  2. Step 2: Convert to fraction form
    512,369.57/768,582.36 = 212,880.42/x
  3. Step 3: Cross multiply
    512,369.57x = 768,582.36 × 212,880.42
  4. Step 4: Simplify right side
    512,369.57x = 163,616,131,758.48
  5. Step 5: Solve for x
    x = 163,616,131,758.48/512,369.57
  6. Step 6: Final answer
    x = 319,332.26

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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.