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Finding the Fourth Proportional to 406,980.40, 610,297.80 and 196,682.80

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Solution

The fourth proportional to 406,980.40, 610,297.80 and 196,682.80 is: 294,940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,980.40 : 610,297.80 = 196,682.80 : x
  2. Step 2: Convert to fraction form
    406,980.40/610,297.80 = 196,682.80/x
  3. Step 3: Cross multiply
    406,980.40x = 610,297.80 × 196,682.80
  4. Step 4: Simplify right side
    406,980.40x = 120,035,080,137.84
  5. Step 5: Solve for x
    x = 120,035,080,137.84/406,980.40
  6. Step 6: Final answer
    x = 294,940.69

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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.