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Finding the Fourth Proportional to 263,137.20, 394,705.80 and 210,649.20

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Solution

The fourth proportional to 263,137.20, 394,705.80 and 210,649.20 is: 315,973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,137.20 : 394,705.80 = 210,649.20 : x
  2. Step 2: Convert to fraction form
    263,137.20/394,705.80 = 210,649.20/x
  3. Step 3: Cross multiply
    263,137.20x = 394,705.80 × 210,649.20
  4. Step 4: Simplify right side
    263,137.20x = 83,144,461,005.36
  5. Step 5: Solve for x
    x = 83,144,461,005.36/263,137.20
  6. Step 6: Final answer
    x = 315,973.80

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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.