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Finding the Fourth Proportional to 298,057.54, 447,283.26 and 140,331.10

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Solution

The fourth proportional to 298,057.54, 447,283.26 and 140,331.10 is: 210,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,057.54 : 447,283.26 = 140,331.10 : x
  2. Step 2: Convert to fraction form
    298,057.54/447,283.26 = 140,331.10/x
  3. Step 3: Cross multiply
    298,057.54x = 447,283.26 × 140,331.10
  4. Step 4: Simplify right side
    298,057.54x = 62,767,751,887.39
  5. Step 5: Solve for x
    x = 62,767,751,887.39/298,057.54
  6. Step 6: Final answer
    x = 210,589.38

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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.