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Finding the Fourth Proportional to 299,078.72, 448,142.10 and 209,291.43

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Solution

The fourth proportional to 299,078.72, 448,142.10 and 209,291.43 is: 313,604.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,078.72 : 448,142.10 = 209,291.43 : x
  2. Step 2: Convert to fraction form
    299,078.72/448,142.10 = 209,291.43/x
  3. Step 3: Cross multiply
    299,078.72x = 448,142.10 × 209,291.43
  4. Step 4: Simplify right side
    299,078.72x = 93,792,300,952.20
  5. Step 5: Solve for x
    x = 93,792,300,952.20/299,078.72
  6. Step 6: Final answer
    x = 313,604.06

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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.