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Finding the Fourth Proportional to 432,949.54, 648,714.36 and 305,969.60

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Solution

The fourth proportional to 432,949.54, 648,714.36 and 305,969.60 is: 458,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,949.54 : 648,714.36 = 305,969.60 : x
  2. Step 2: Convert to fraction form
    432,949.54/648,714.36 = 305,969.60/x
  3. Step 3: Cross multiply
    432,949.54x = 648,714.36 × 305,969.60
  4. Step 4: Simplify right side
    432,949.54x = 198,486,873,243.46
  5. Step 5: Solve for x
    x = 198,486,873,243.46/432,949.54
  6. Step 6: Final answer
    x = 458,452.67

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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.