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Finding the Fourth Proportional to 280,954.15, 421,361.06 and 110,210.56

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Solution

The fourth proportional to 280,954.15, 421,361.06 and 110,210.56 is: 165,288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,954.15 : 421,361.06 = 110,210.56 : x
  2. Step 2: Convert to fraction form
    280,954.15/421,361.06 = 110,210.56/x
  3. Step 3: Cross multiply
    280,954.15x = 421,361.06 × 110,210.56
  4. Step 4: Simplify right side
    280,954.15x = 46,438,438,384.79
  5. Step 5: Solve for x
    x = 46,438,438,384.79/280,954.15
  6. Step 6: Final answer
    x = 165,288.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.