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Finding the Fourth Proportional to 432,002.20, 648,003.30 and 274,408.60

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Solution

The fourth proportional to 432,002.20, 648,003.30 and 274,408.60 is: 411,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,002.20 : 648,003.30 = 274,408.60 : x
  2. Step 2: Convert to fraction form
    432,002.20/648,003.30 = 274,408.60/x
  3. Step 3: Cross multiply
    432,002.20x = 648,003.30 × 274,408.60
  4. Step 4: Simplify right side
    432,002.20x = 177,817,678,348.38
  5. Step 5: Solve for x
    x = 177,817,678,348.38/432,002.20
  6. Step 6: Final answer
    x = 411,612.90

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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.