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Finding the Fourth Proportional to 664,354.70, 996,677.85 and 214,999.10

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Solution

The fourth proportional to 664,354.70, 996,677.85 and 214,999.10 is: 322,545.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,354.70 : 996,677.85 = 214,999.10 : x
  2. Step 2: Convert to fraction form
    664,354.70/996,677.85 = 214,999.10/x
  3. Step 3: Cross multiply
    664,354.70x = 996,677.85 × 214,999.10
  4. Step 4: Simplify right side
    664,354.70x = 214,284,840,739.94
  5. Step 5: Solve for x
    x = 214,284,840,739.94/664,354.70
  6. Step 6: Final answer
    x = 322,545.83

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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.