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Finding the Fourth Proportional to 254,004.21, 380,767.91 and 85,406.63

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Solution

The fourth proportional to 254,004.21, 380,767.91 and 85,406.63 is: 128,029.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,004.21 : 380,767.91 = 85,406.63 : x
  2. Step 2: Convert to fraction form
    254,004.21/380,767.91 = 85,406.63/x
  3. Step 3: Cross multiply
    254,004.21x = 380,767.91 × 85,406.63
  4. Step 4: Simplify right side
    254,004.21x = 32,520,101,674.37
  5. Step 5: Solve for x
    x = 32,520,101,674.37/254,004.21
  6. Step 6: Final answer
    x = 128,029.77

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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.