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Finding the Fourth Proportional to 432,076.20, 648,114.30 and 327,100.20

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Solution

The fourth proportional to 432,076.20, 648,114.30 and 327,100.20 is: 490,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,076.20 : 648,114.30 = 327,100.20 : x
  2. Step 2: Convert to fraction form
    432,076.20/648,114.30 = 327,100.20/x
  3. Step 3: Cross multiply
    432,076.20x = 648,114.30 × 327,100.20
  4. Step 4: Simplify right side
    432,076.20x = 211,998,317,152.86
  5. Step 5: Solve for x
    x = 211,998,317,152.86/432,076.20
  6. Step 6: Final answer
    x = 490,650.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.