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Finding the Fourth Proportional to 561,153.54, 842,065.66 and 206,203.44

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Solution

The fourth proportional to 561,153.54, 842,065.66 and 206,203.44 is: 309,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,153.54 : 842,065.66 = 206,203.44 : x
  2. Step 2: Convert to fraction form
    561,153.54/842,065.66 = 206,203.44/x
  3. Step 3: Cross multiply
    561,153.54x = 842,065.66 × 206,203.44
  4. Step 4: Simplify right side
    561,153.54x = 173,636,839,213.37
  5. Step 5: Solve for x
    x = 173,636,839,213.37/561,153.54
  6. Step 6: Final answer
    x = 309,428.39

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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.