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Finding the Fourth Proportional to 399,646.50, 599,765.68 and 189,285.10

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Solution

The fourth proportional to 399,646.50, 599,765.68 and 189,285.10 is: 284,067.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,646.50 : 599,765.68 = 189,285.10 : x
  2. Step 2: Convert to fraction form
    399,646.50/599,765.68 = 189,285.10/x
  3. Step 3: Cross multiply
    399,646.50x = 599,765.68 × 189,285.10
  4. Step 4: Simplify right side
    399,646.50x = 113,526,706,715.37
  5. Step 5: Solve for x
    x = 113,526,706,715.37/399,646.50
  6. Step 6: Final answer
    x = 284,067.81

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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.