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Finding the Fourth Proportional to 399,338.68, 599,150.64 and 171,538.60

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Solution

The fourth proportional to 399,338.68, 599,150.64 and 171,538.60 is: 257,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,338.68 : 599,150.64 = 171,538.60 : x
  2. Step 2: Convert to fraction form
    399,338.68/599,150.64 = 171,538.60/x
  3. Step 3: Cross multiply
    399,338.68x = 599,150.64 × 171,538.60
  4. Step 4: Simplify right side
    399,338.68x = 102,777,461,974.70
  5. Step 5: Solve for x
    x = 102,777,461,974.70/399,338.68
  6. Step 6: Final answer
    x = 257,369.16

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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.