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Finding the Fourth Proportional to 393,466.20, 590,199.30 and 298,987.80

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Solution

The fourth proportional to 393,466.20, 590,199.30 and 298,987.80 is: 448,481.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,466.20 : 590,199.30 = 298,987.80 : x
  2. Step 2: Convert to fraction form
    393,466.20/590,199.30 = 298,987.80/x
  3. Step 3: Cross multiply
    393,466.20x = 590,199.30 × 298,987.80
  4. Step 4: Simplify right side
    393,466.20x = 176,462,390,268.54
  5. Step 5: Solve for x
    x = 176,462,390,268.54/393,466.20
  6. Step 6: Final answer
    x = 448,481.70

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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.