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Finding the Fourth Proportional to 432,272.10, 648,408.12 and 221,775.78

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Solution

The fourth proportional to 432,272.10, 648,408.12 and 221,775.78 is: 332,663.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,272.10 : 648,408.12 = 221,775.78 : x
  2. Step 2: Convert to fraction form
    432,272.10/648,408.12 = 221,775.78/x
  3. Step 3: Cross multiply
    432,272.10x = 648,408.12 × 221,775.78
  4. Step 4: Simplify right side
    432,272.10x = 143,801,216,571.33
  5. Step 5: Solve for x
    x = 143,801,216,571.33/432,272.10
  6. Step 6: Final answer
    x = 332,663.65

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1.5x scale

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.