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Finding the Fourth Proportional to 277,291.96, 382,662.60 and 149,967.28

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Solution

The fourth proportional to 277,291.96, 382,662.60 and 149,967.28 is: 206,954.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,291.96 : 382,662.60 = 149,967.28 : x
  2. Step 2: Convert to fraction form
    277,291.96/382,662.60 = 149,967.28/x
  3. Step 3: Cross multiply
    277,291.96x = 382,662.60 × 149,967.28
  4. Step 4: Simplify right side
    277,291.96x = 57,386,869,279.73
  5. Step 5: Solve for x
    x = 57,386,869,279.73/277,291.96
  6. Step 6: Final answer
    x = 206,954.68

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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.