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Finding the Fourth Proportional to 512,358.78, 768,013.20 and 213,013.20

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Solution

The fourth proportional to 512,358.78, 768,013.20 and 213,013.20 is: 319,301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,358.78 : 768,013.20 = 213,013.20 : x
  2. Step 2: Convert to fraction form
    512,358.78/768,013.20 = 213,013.20/x
  3. Step 3: Cross multiply
    512,358.78x = 768,013.20 × 213,013.20
  4. Step 4: Simplify right side
    512,358.78x = 163,596,949,374.24
  5. Step 5: Solve for x
    x = 163,596,949,374.24/512,358.78
  6. Step 6: Final answer
    x = 319,301.54

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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.