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Finding the Fourth Proportional to 277,724.80, 383,260.80 and 150,400

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Solution

The fourth proportional to 277,724.80, 383,260.80 and 150,400 is: 207,552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,724.80 : 383,260.80 = 150,400 : x
  2. Step 2: Convert to fraction form
    277,724.80/383,260.80 = 150,400/x
  3. Step 3: Cross multiply
    277,724.80x = 383,260.80 × 150,400
  4. Step 4: Simplify right side
    277,724.80x = 57,642,424,320
  5. Step 5: Solve for x
    x = 57,642,424,320/277,724.80
  6. Step 6: Final answer
    x = 207,552.31

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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.