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Finding the Fourth Proportional to 273,234.70, 409,852.05 and 198,001.90

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Solution

The fourth proportional to 273,234.70, 409,852.05 and 198,001.90 is: 297,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,234.70 : 409,852.05 = 198,001.90 : x
  2. Step 2: Convert to fraction form
    273,234.70/409,852.05 = 198,001.90/x
  3. Step 3: Cross multiply
    273,234.70x = 409,852.05 × 198,001.90
  4. Step 4: Simplify right side
    273,234.70x = 81,151,484,618.90
  5. Step 5: Solve for x
    x = 81,151,484,618.90/273,234.70
  6. Step 6: Final answer
    x = 297,002.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.