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Finding the Fourth Proportional to 206,412.14, 284,860.26 and 155,333

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Solution

The fourth proportional to 206,412.14, 284,860.26 and 155,333 is: 214,368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,412.14 : 284,860.26 = 155,333 : x
  2. Step 2: Convert to fraction form
    206,412.14/284,860.26 = 155,333/x
  3. Step 3: Cross multiply
    206,412.14x = 284,860.26 × 155,333
  4. Step 4: Simplify right side
    206,412.14x = 44,248,198,766.58
  5. Step 5: Solve for x
    x = 44,248,198,766.58/206,412.14
  6. Step 6: Final answer
    x = 214,368.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.