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Finding the Fourth Proportional to 427,709.10, 590,198.57 and 255,592.91

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Solution

The fourth proportional to 427,709.10, 590,198.57 and 255,592.91 is: 352,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,709.10 : 590,198.57 = 255,592.91 : x
  2. Step 2: Convert to fraction form
    427,709.10/590,198.57 = 255,592.91/x
  3. Step 3: Cross multiply
    427,709.10x = 590,198.57 × 255,592.91
  4. Step 4: Simplify right side
    427,709.10x = 150,850,567,820.28
  5. Step 5: Solve for x
    x = 150,850,567,820.28/427,709.10
  6. Step 6: Final answer
    x = 352,694.32

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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.