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Finding the Fourth Proportional to 278,969.32, 384,974.94 and 151,637.32

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Solution

The fourth proportional to 278,969.32, 384,974.94 and 151,637.32 is: 209,258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,969.32 : 384,974.94 = 151,637.32 : x
  2. Step 2: Convert to fraction form
    278,969.32/384,974.94 = 151,637.32/x
  3. Step 3: Cross multiply
    278,969.32x = 384,974.94 × 151,637.32
  4. Step 4: Simplify right side
    278,969.32x = 58,376,568,168.76
  5. Step 5: Solve for x
    x = 58,376,568,168.76/278,969.32
  6. Step 6: Final answer
    x = 209,258.02

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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.