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Finding the Fourth Proportional to 297,469.72, 410,389.50 and 190,011.88

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Solution

The fourth proportional to 297,469.72, 410,389.50 and 190,011.88 is: 262,140.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,469.72 : 410,389.50 = 190,011.88 : x
  2. Step 2: Convert to fraction form
    297,469.72/410,389.50 = 190,011.88/x
  3. Step 3: Cross multiply
    297,469.72x = 410,389.50 × 190,011.88
  4. Step 4: Simplify right side
    297,469.72x = 77,978,880,427.26
  5. Step 5: Solve for x
    x = 77,978,880,427.26/297,469.72
  6. Step 6: Final answer
    x = 262,140.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.