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Finding the Fourth Proportional to 278,147.70, 383,841.72 and 150,823.08

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Solution

The fourth proportional to 278,147.70, 383,841.72 and 150,823.08 is: 208,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,147.70 : 383,841.72 = 150,823.08 : x
  2. Step 2: Convert to fraction form
    278,147.70/383,841.72 = 150,823.08/x
  3. Step 3: Cross multiply
    278,147.70x = 383,841.72 × 150,823.08
  4. Step 4: Simplify right side
    278,147.70x = 57,892,190,442.90
  5. Step 5: Solve for x
    x = 57,892,190,442.90/278,147.70
  6. Step 6: Final answer
    x = 208,134.71

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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.