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Finding the Fourth Proportional to 277,289.62, 382,659.93 and 149,965.21

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Solution

The fourth proportional to 277,289.62, 382,659.93 and 149,965.21 is: 206,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,289.62 : 382,659.93 = 149,965.21 : x
  2. Step 2: Convert to fraction form
    277,289.62/382,659.93 = 149,965.21/x
  3. Step 3: Cross multiply
    277,289.62x = 382,659.93 × 149,965.21
  4. Step 4: Simplify right side
    277,289.62x = 57,385,676,011.21
  5. Step 5: Solve for x
    x = 57,385,676,011.21/277,289.62
  6. Step 6: Final answer
    x = 206,952.13

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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.