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Finding the Fourth Proportional to 277,308.80, 382,686.56 and 149,984.32

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Solution

The fourth proportional to 277,308.80, 382,686.56 and 149,984.32 is: 206,978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,308.80 : 382,686.56 = 149,984.32 : x
  2. Step 2: Convert to fraction form
    277,308.80/382,686.56 = 149,984.32/x
  3. Step 3: Cross multiply
    277,308.80x = 382,686.56 × 149,984.32
  4. Step 4: Simplify right side
    277,308.80x = 57,396,983,474.74
  5. Step 5: Solve for x
    x = 57,396,983,474.74/277,308.80
  6. Step 6: Final answer
    x = 206,978.59

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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.