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Finding the Fourth Proportional to 277,661.84, 382,978.48 and 170,274.68

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Solution

The fourth proportional to 277,661.84, 382,978.48 and 170,274.68 is: 234,859.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,661.84 : 382,978.48 = 170,274.68 : x
  2. Step 2: Convert to fraction form
    277,661.84/382,978.48 = 170,274.68/x
  3. Step 3: Cross multiply
    277,661.84x = 382,978.48 × 170,274.68
  4. Step 4: Simplify right side
    277,661.84x = 65,211,535,362.62
  5. Step 5: Solve for x
    x = 65,211,535,362.62/277,661.84
  6. Step 6: Final answer
    x = 234,859.55

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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.