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Finding the Fourth Proportional to 277,309.21, 382,686.42 and 149,984.50

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Solution

The fourth proportional to 277,309.21, 382,686.42 and 149,984.50 is: 206,978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,309.21 : 382,686.42 = 149,984.50 : x
  2. Step 2: Convert to fraction form
    277,309.21/382,686.42 = 149,984.50/x
  3. Step 3: Cross multiply
    277,309.21x = 382,686.42 × 149,984.50
  4. Step 4: Simplify right side
    277,309.21x = 57,397,031,360.49
  5. Step 5: Solve for x
    x = 57,397,031,360.49/277,309.21
  6. Step 6: Final answer
    x = 206,978.45

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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.