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Finding the Fourth Proportional to 399,807.34, 599,814.90 and 119,324.60

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Solution

The fourth proportional to 399,807.34, 599,814.90 and 119,324.60 is: 179,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,807.34 : 599,814.90 = 119,324.60 : x
  2. Step 2: Convert to fraction form
    399,807.34/599,814.90 = 119,324.60/x
  3. Step 3: Cross multiply
    399,807.34x = 599,814.90 × 119,324.60
  4. Step 4: Simplify right side
    399,807.34x = 71,572,673,016.54
  5. Step 5: Solve for x
    x = 71,572,673,016.54/399,807.34
  6. Step 6: Final answer
    x = 179,017.91

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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.