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Finding the Fourth Proportional to 297,668.28, 410,810.22 and 211,782.36

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Solution

The fourth proportional to 297,668.28, 410,810.22 and 211,782.36 is: 292,279.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,668.28 : 410,810.22 = 211,782.36 : x
  2. Step 2: Convert to fraction form
    297,668.28/410,810.22 = 211,782.36/x
  3. Step 3: Cross multiply
    297,668.28x = 410,810.22 × 211,782.36
  4. Step 4: Simplify right side
    297,668.28x = 87,002,357,903.72
  5. Step 5: Solve for x
    x = 87,002,357,903.72/297,668.28
  6. Step 6: Final answer
    x = 292,279.57

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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.