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Finding the Fourth Proportional to 298,987.20, 447,703.20 and 193,233.60

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Solution

The fourth proportional to 298,987.20, 447,703.20 and 193,233.60 is: 289,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,987.20 : 447,703.20 = 193,233.60 : x
  2. Step 2: Convert to fraction form
    298,987.20/447,703.20 = 193,233.60/x
  3. Step 3: Cross multiply
    298,987.20x = 447,703.20 × 193,233.60
  4. Step 4: Simplify right side
    298,987.20x = 86,511,301,067.52
  5. Step 5: Solve for x
    x = 86,511,301,067.52/298,987.20
  6. Step 6: Final answer
    x = 289,347.84

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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.