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Finding the Fourth Proportional to 339,315.54, 509,059.46 and 157,077.73

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Solution

The fourth proportional to 339,315.54, 509,059.46 and 157,077.73 is: 235,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,315.54 : 509,059.46 = 157,077.73 : x
  2. Step 2: Convert to fraction form
    339,315.54/509,059.46 = 157,077.73/x
  3. Step 3: Cross multiply
    339,315.54x = 509,059.46 × 157,077.73
  4. Step 4: Simplify right side
    339,315.54x = 79,961,902,577.39
  5. Step 5: Solve for x
    x = 79,961,902,577.39/339,315.54
  6. Step 6: Final answer
    x = 235,656.47

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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.