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Finding the Fourth Proportional to 500,916.99, 691,336.34 and 309,991.89

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Solution

The fourth proportional to 500,916.99, 691,336.34 and 309,991.89 is: 427,832.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,916.99 : 691,336.34 = 309,991.89 : x
  2. Step 2: Convert to fraction form
    500,916.99/691,336.34 = 309,991.89/x
  3. Step 3: Cross multiply
    500,916.99x = 691,336.34 × 309,991.89
  4. Step 4: Simplify right side
    500,916.99x = 214,308,658,662.28
  5. Step 5: Solve for x
    x = 214,308,658,662.28/500,916.99
  6. Step 6: Final answer
    x = 427,832.68

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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.