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Finding the Fourth Proportional to 277,306.80, 382,683.80 and 149,982.32

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Solution

The fourth proportional to 277,306.80, 382,683.80 and 149,982.32 is: 206,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,306.80 : 382,683.80 = 149,982.32 : x
  2. Step 2: Convert to fraction form
    277,306.80/382,683.80 = 149,982.32/x
  3. Step 3: Cross multiply
    277,306.80x = 382,683.80 × 149,982.32
  4. Step 4: Simplify right side
    277,306.80x = 57,395,804,150.42
  5. Step 5: Solve for x
    x = 57,395,804,150.42/277,306.80
  6. Step 6: Final answer
    x = 206,975.83

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1.5x scale

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.