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Finding the Fourth Proportional to 277,270.57, 415,905.90 and 66,908.51

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Solution

The fourth proportional to 277,270.57, 415,905.90 and 66,908.51 is: 100,362.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,270.57 : 415,905.90 = 66,908.51 : x
  2. Step 2: Convert to fraction form
    277,270.57/415,905.90 = 66,908.51/x
  3. Step 3: Cross multiply
    277,270.57x = 415,905.90 × 66,908.51
  4. Step 4: Simplify right side
    277,270.57x = 27,827,641,989.68
  5. Step 5: Solve for x
    x = 27,827,641,989.68/277,270.57
  6. Step 6: Final answer
    x = 100,362.77

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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.