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Finding the Fourth Proportional to 432,571.20, 648,905.40 and 133,049.40

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Solution

The fourth proportional to 432,571.20, 648,905.40 and 133,049.40 is: 199,589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,571.20 : 648,905.40 = 133,049.40 : x
  2. Step 2: Convert to fraction form
    432,571.20/648,905.40 = 133,049.40/x
  3. Step 3: Cross multiply
    432,571.20x = 648,905.40 × 133,049.40
  4. Step 4: Simplify right side
    432,571.20x = 86,336,474,126.76
  5. Step 5: Solve for x
    x = 86,336,474,126.76/432,571.20
  6. Step 6: Final answer
    x = 199,589.05

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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.