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Finding the Fourth Proportional to 278,099.64, 383,780.16 and 150,775.56

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Solution

The fourth proportional to 278,099.64, 383,780.16 and 150,775.56 is: 208,071.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,099.64 : 383,780.16 = 150,775.56 : x
  2. Step 2: Convert to fraction form
    278,099.64/383,780.16 = 150,775.56/x
  3. Step 3: Cross multiply
    278,099.64x = 383,780.16 × 150,775.56
  4. Step 4: Simplify right side
    278,099.64x = 57,864,668,540.89
  5. Step 5: Solve for x
    x = 57,864,668,540.89/278,099.64
  6. Step 6: Final answer
    x = 208,071.71

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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.