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Finding the Fourth Proportional to 646,031.48, 969,135.87 and 219,452.78

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Solution

The fourth proportional to 646,031.48, 969,135.87 and 219,452.78 is: 329,209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,031.48 : 969,135.87 = 219,452.78 : x
  2. Step 2: Convert to fraction form
    646,031.48/969,135.87 = 219,452.78/x
  3. Step 3: Cross multiply
    646,031.48x = 969,135.87 × 219,452.78
  4. Step 4: Simplify right side
    646,031.48x = 212,679,556,023.54
  5. Step 5: Solve for x
    x = 212,679,556,023.54/646,031.48
  6. Step 6: Final answer
    x = 329,209.28

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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.