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Finding the Fourth Proportional to 278,074, 383,739.84 and 150,746.32

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Solution

The fourth proportional to 278,074, 383,739.84 and 150,746.32 is: 208,028.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,074 : 383,739.84 = 150,746.32 : x
  2. Step 2: Convert to fraction form
    278,074/383,739.84 = 150,746.32/x
  3. Step 3: Cross multiply
    278,074x = 383,739.84 × 150,746.32
  4. Step 4: Simplify right side
    278,074x = 57,847,368,717.39
  5. Step 5: Solve for x
    x = 57,847,368,717.39/278,074
  6. Step 6: Final answer
    x = 208,028.69

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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.