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Finding the Fourth Proportional to 298,410.44, 447,615.72 and 285,452.52

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Solution

The fourth proportional to 298,410.44, 447,615.72 and 285,452.52 is: 428,178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,410.44 : 447,615.72 = 285,452.52 : x
  2. Step 2: Convert to fraction form
    298,410.44/447,615.72 = 285,452.52/x
  3. Step 3: Cross multiply
    298,410.44x = 447,615.72 × 285,452.52
  4. Step 4: Simplify right side
    298,410.44x = 127,773,035,265.61
  5. Step 5: Solve for x
    x = 127,773,035,265.61/298,410.44
  6. Step 6: Final answer
    x = 428,178.84

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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.