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Finding the Fourth Proportional to 406,766.40, 609,976.80 and 196,468.80

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Solution

The fourth proportional to 406,766.40, 609,976.80 and 196,468.80 is: 294,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,766.40 : 609,976.80 = 196,468.80 : x
  2. Step 2: Convert to fraction form
    406,766.40/609,976.80 = 196,468.80/x
  3. Step 3: Cross multiply
    406,766.40x = 609,976.80 × 196,468.80
  4. Step 4: Simplify right side
    406,766.40x = 119,841,409,923.84
  5. Step 5: Solve for x
    x = 119,841,409,923.84/406,766.40
  6. Step 6: Final answer
    x = 294,619.74

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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.