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Finding the Fourth Proportional to 345,440.94, 476,709.47 and 200,274.86

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Solution

The fourth proportional to 345,440.94, 476,709.47 and 200,274.86 is: 276,379.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,440.94 : 476,709.47 = 200,274.86 : x
  2. Step 2: Convert to fraction form
    345,440.94/476,709.47 = 200,274.86/x
  3. Step 3: Cross multiply
    345,440.94x = 476,709.47 × 200,274.86
  4. Step 4: Simplify right side
    345,440.94x = 95,472,923,306.35
  5. Step 5: Solve for x
    x = 95,472,923,306.35/345,440.94
  6. Step 6: Final answer
    x = 276,379.88

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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.