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Finding the Fourth Proportional to 355,456, 490,529.16 and 194,311.72

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Solution

The fourth proportional to 355,456, 490,529.16 and 194,311.72 is: 268,150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,456 : 490,529.16 = 194,311.72 : x
  2. Step 2: Convert to fraction form
    355,456/490,529.16 = 194,311.72/x
  3. Step 3: Cross multiply
    355,456x = 490,529.16 × 194,311.72
  4. Step 4: Simplify right side
    355,456x = 95,315,564,789.76
  5. Step 5: Solve for x
    x = 95,315,564,789.76/355,456
  6. Step 6: Final answer
    x = 268,150.11

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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.