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Finding the Fourth Proportional to 278,182.94, 383,889.08 and 150,857.06

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Solution

The fourth proportional to 278,182.94, 383,889.08 and 150,857.06 is: 208,180.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,182.94 : 383,889.08 = 150,857.06 : x
  2. Step 2: Convert to fraction form
    278,182.94/383,889.08 = 150,857.06/x
  3. Step 3: Cross multiply
    278,182.94x = 383,889.08 × 150,857.06
  4. Step 4: Simplify right side
    278,182.94x = 57,912,377,974.90
  5. Step 5: Solve for x
    x = 57,912,377,974.90/278,182.94
  6. Step 6: Final answer
    x = 208,180.91

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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.