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Finding the Fourth Proportional to 274,041, 378,128.18 and 153,143.64

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Solution

The fourth proportional to 274,041, 378,128.18 and 153,143.64 is: 211,311.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,041 : 378,128.18 = 153,143.64 : x
  2. Step 2: Convert to fraction form
    274,041/378,128.18 = 153,143.64/x
  3. Step 3: Cross multiply
    274,041x = 378,128.18 × 153,143.64
  4. Step 4: Simplify right side
    274,041x = 57,907,925,871.78
  5. Step 5: Solve for x
    x = 57,907,925,871.78/274,041
  6. Step 6: Final answer
    x = 211,311.18

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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.