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Finding the Fourth Proportional to 410,820.60, 616,749.30 and 221,431.80

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Solution

The fourth proportional to 410,820.60, 616,749.30 and 221,431.80 is: 332,427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,820.60 : 616,749.30 = 221,431.80 : x
  2. Step 2: Convert to fraction form
    410,820.60/616,749.30 = 221,431.80/x
  3. Step 3: Cross multiply
    410,820.60x = 616,749.30 × 221,431.80
  4. Step 4: Simplify right side
    410,820.60x = 136,567,907,647.74
  5. Step 5: Solve for x
    x = 136,567,907,647.74/410,820.60
  6. Step 6: Final answer
    x = 332,427.12

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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.