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Finding the Fourth Proportional to 270,829.80, 406,244.70 and 268,986.60

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Solution

The fourth proportional to 270,829.80, 406,244.70 and 268,986.60 is: 403,479.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,829.80 : 406,244.70 = 268,986.60 : x
  2. Step 2: Convert to fraction form
    270,829.80/406,244.70 = 268,986.60/x
  3. Step 3: Cross multiply
    270,829.80x = 406,244.70 × 268,986.60
  4. Step 4: Simplify right side
    270,829.80x = 109,274,380,621.02
  5. Step 5: Solve for x
    x = 109,274,380,621.02/270,829.80
  6. Step 6: Final answer
    x = 403,479.90

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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.