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Finding the Fourth Proportional to 339,800.42, 509,382.29 and 115,003.47

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Solution

The fourth proportional to 339,800.42, 509,382.29 and 115,003.47 is: 172,397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,800.42 : 509,382.29 = 115,003.47 : x
  2. Step 2: Convert to fraction form
    339,800.42/509,382.29 = 115,003.47/x
  3. Step 3: Cross multiply
    339,800.42x = 509,382.29 × 115,003.47
  4. Step 4: Simplify right side
    339,800.42x = 58,580,730,906.55
  5. Step 5: Solve for x
    x = 58,580,730,906.55/339,800.42
  6. Step 6: Final answer
    x = 172,397.47

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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.