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Finding the Fourth Proportional to 393,097.37, 589,676.84 and 140,432.45

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Solution

The fourth proportional to 393,097.37, 589,676.84 and 140,432.45 is: 210,659.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,097.37 : 589,676.84 = 140,432.45 : x
  2. Step 2: Convert to fraction form
    393,097.37/589,676.84 = 140,432.45/x
  3. Step 3: Cross multiply
    393,097.37x = 589,676.84 × 140,432.45
  4. Step 4: Simplify right side
    393,097.37x = 82,809,762,647.30
  5. Step 5: Solve for x
    x = 82,809,762,647.30/393,097.37
  6. Step 6: Final answer
    x = 210,659.67

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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.