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Finding the Fourth Proportional to 277,920, 383,846.40 and 188,340.48

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Solution

The fourth proportional to 277,920, 383,846.40 and 188,340.48 is: 260,124.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,920 : 383,846.40 = 188,340.48 : x
  2. Step 2: Convert to fraction form
    277,920/383,846.40 = 188,340.48/x
  3. Step 3: Cross multiply
    277,920x = 383,846.40 × 188,340.48
  4. Step 4: Simplify right side
    277,920x = 72,293,815,222.27
  5. Step 5: Solve for x
    x = 72,293,815,222.27/277,920
  6. Step 6: Final answer
    x = 260,124.55

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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.