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Finding the Fourth Proportional to 343,729.08, 474,403.12 and 200,489.12

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Solution

The fourth proportional to 343,729.08, 474,403.12 and 200,489.12 is: 276,708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,729.08 : 474,403.12 = 200,489.12 : x
  2. Step 2: Convert to fraction form
    343,729.08/474,403.12 = 200,489.12/x
  3. Step 3: Cross multiply
    343,729.08x = 474,403.12 × 200,489.12
  4. Step 4: Simplify right side
    343,729.08x = 95,112,664,054.05
  5. Step 5: Solve for x
    x = 95,112,664,054.05/343,729.08
  6. Step 6: Final answer
    x = 276,708.23

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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.