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Finding the Fourth Proportional to 408,824, 613,241.52 and 128,341.28

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Solution

The fourth proportional to 408,824, 613,241.52 and 128,341.28 is: 192,513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,824 : 613,241.52 = 128,341.28 : x
  2. Step 2: Convert to fraction form
    408,824/613,241.52 = 128,341.28/x
  3. Step 3: Cross multiply
    408,824x = 613,241.52 × 128,341.28
  4. Step 4: Simplify right side
    408,824x = 78,704,201,625.95
  5. Step 5: Solve for x
    x = 78,704,201,625.95/408,824
  6. Step 6: Final answer
    x = 192,513.65

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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.