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Finding the Fourth Proportional to 298,630.40, 447,427.20 and 193,395.20

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Solution

The fourth proportional to 298,630.40, 447,427.20 and 193,395.20 is: 289,757.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,630.40 : 447,427.20 = 193,395.20 : x
  2. Step 2: Convert to fraction form
    298,630.40/447,427.20 = 193,395.20/x
  3. Step 3: Cross multiply
    298,630.40x = 447,427.20 × 193,395.20
  4. Step 4: Simplify right side
    298,630.40x = 86,530,272,829.44
  5. Step 5: Solve for x
    x = 86,530,272,829.44/298,630.40
  6. Step 6: Final answer
    x = 289,757.08

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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.