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Finding the Fourth Proportional to 262,853.20, 394,279.80 and 200,645.20

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Solution

The fourth proportional to 262,853.20, 394,279.80 and 200,645.20 is: 300,967.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,853.20 : 394,279.80 = 200,645.20 : x
  2. Step 2: Convert to fraction form
    262,853.20/394,279.80 = 200,645.20/x
  3. Step 3: Cross multiply
    262,853.20x = 394,279.80 × 200,645.20
  4. Step 4: Simplify right side
    262,853.20x = 79,110,349,326.96
  5. Step 5: Solve for x
    x = 79,110,349,326.96/262,853.20
  6. Step 6: Final answer
    x = 300,967.80

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1.5x scale

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.