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Finding the Fourth Proportional to 339,356.21, 509,099.92 and 128,977.74

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Solution

The fourth proportional to 339,356.21, 509,099.92 and 128,977.74 is: 193,491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,356.21 : 509,099.92 = 128,977.74 : x
  2. Step 2: Convert to fraction form
    339,356.21/509,099.92 = 128,977.74/x
  3. Step 3: Cross multiply
    339,356.21x = 509,099.92 × 128,977.74
  4. Step 4: Simplify right side
    339,356.21x = 65,662,556,793.34
  5. Step 5: Solve for x
    x = 65,662,556,793.34/339,356.21
  6. Step 6: Final answer
    x = 193,491.55

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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.