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Finding the Fourth Proportional to 277,040.97, 415,561.54 and 66,678.91

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Solution

The fourth proportional to 277,040.97, 415,561.54 and 66,678.91 is: 100,018.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,040.97 : 415,561.54 = 66,678.91 : x
  2. Step 2: Convert to fraction form
    277,040.97/415,561.54 = 66,678.91/x
  3. Step 3: Cross multiply
    277,040.97x = 415,561.54 × 66,678.91
  4. Step 4: Simplify right side
    277,040.97x = 27,709,190,358.42
  5. Step 5: Solve for x
    x = 27,709,190,358.42/277,040.97
  6. Step 6: Final answer
    x = 100,018.38

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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.