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Finding the Fourth Proportional to 315,276.24, 435,555.24 and 206,638.44

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Solution

The fourth proportional to 315,276.24, 435,555.24 and 206,638.44 is: 285,471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,276.24 : 435,555.24 = 206,638.44 : x
  2. Step 2: Convert to fraction form
    315,276.24/435,555.24 = 206,638.44/x
  3. Step 3: Cross multiply
    315,276.24x = 435,555.24 × 206,638.44
  4. Step 4: Simplify right side
    315,276.24x = 90,002,455,327.43
  5. Step 5: Solve for x
    x = 90,002,455,327.43/315,276.24
  6. Step 6: Final answer
    x = 285,471.74

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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.