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Finding the Fourth Proportional to 512,004.78, 767,573.37 and 212,298.30

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Solution

The fourth proportional to 512,004.78, 767,573.37 and 212,298.30 is: 318,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,004.78 : 767,573.37 = 212,298.30 : x
  2. Step 2: Convert to fraction form
    512,004.78/767,573.37 = 212,298.30/x
  3. Step 3: Cross multiply
    512,004.78x = 767,573.37 × 212,298.30
  4. Step 4: Simplify right side
    512,004.78x = 162,954,521,576.27
  5. Step 5: Solve for x
    x = 162,954,521,576.27/512,004.78
  6. Step 6: Final answer
    x = 318,267.58

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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.