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Finding the Fourth Proportional to 313,183.86, 469,545.78 and 99,828.96

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Solution

The fourth proportional to 313,183.86, 469,545.78 and 99,828.96 is: 149,670.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,183.86 : 469,545.78 = 99,828.96 : x
  2. Step 2: Convert to fraction form
    313,183.86/469,545.78 = 99,828.96/x
  3. Step 3: Cross multiply
    313,183.86x = 469,545.78 × 99,828.96
  4. Step 4: Simplify right side
    313,183.86x = 46,874,266,889.79
  5. Step 5: Solve for x
    x = 46,874,266,889.79/313,183.86
  6. Step 6: Final answer
    x = 149,670.12

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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.