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Finding the Fourth Proportional to 399,679.13, 599,945.49 and 172,087.38

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Solution

The fourth proportional to 399,679.13, 599,945.49 and 172,087.38 is: 258,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,679.13 : 599,945.49 = 172,087.38 : x
  2. Step 2: Convert to fraction form
    399,679.13/599,945.49 = 172,087.38/x
  3. Step 3: Cross multiply
    399,679.13x = 599,945.49 × 172,087.38
  4. Step 4: Simplify right side
    399,679.13x = 103,243,047,516.92
  5. Step 5: Solve for x
    x = 103,243,047,516.92/399,679.13
  6. Step 6: Final answer
    x = 258,314.84

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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.