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Finding the Fourth Proportional to 278,147.70, 383,841.69 and 150,822.90

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Solution

The fourth proportional to 278,147.70, 383,841.69 and 150,822.90 is: 208,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,147.70 : 383,841.69 = 150,822.90 : x
  2. Step 2: Convert to fraction form
    278,147.70/383,841.69 = 150,822.90/x
  3. Step 3: Cross multiply
    278,147.70x = 383,841.69 × 150,822.90
  4. Step 4: Simplify right side
    278,147.70x = 57,892,116,826.70
  5. Step 5: Solve for x
    x = 57,892,116,826.70/278,147.70
  6. Step 6: Final answer
    x = 208,134.44

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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.