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Finding the Fourth Proportional to 355,657.64, 490,800.67 and 194,512.19

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Solution

The fourth proportional to 355,657.64, 490,800.67 and 194,512.19 is: 268,423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,657.64 : 490,800.67 = 194,512.19 : x
  2. Step 2: Convert to fraction form
    355,657.64/490,800.67 = 194,512.19/x
  3. Step 3: Cross multiply
    355,657.64x = 490,800.67 × 194,512.19
  4. Step 4: Simplify right side
    355,657.64x = 95,466,710,234.88
  5. Step 5: Solve for x
    x = 95,466,710,234.88/355,657.64
  6. Step 6: Final answer
    x = 268,423.06

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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.