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Finding the Fourth Proportional to 432,889.20, 648,896.40 and 196,401.60

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Solution

The fourth proportional to 432,889.20, 648,896.40 and 196,401.60 is: 294,403.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,889.20 : 648,896.40 = 196,401.60 : x
  2. Step 2: Convert to fraction form
    432,889.20/648,896.40 = 196,401.60/x
  3. Step 3: Cross multiply
    432,889.20x = 648,896.40 × 196,401.60
  4. Step 4: Simplify right side
    432,889.20x = 127,444,291,194.24
  5. Step 5: Solve for x
    x = 127,444,291,194.24/432,889.20
  6. Step 6: Final answer
    x = 294,403.95

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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.