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Finding the Fourth Proportional to 339,412.95, 509,144.94 and 102,774.69

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Solution

The fourth proportional to 339,412.95, 509,144.94 and 102,774.69 is: 154,169.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,412.95 : 509,144.94 = 102,774.69 : x
  2. Step 2: Convert to fraction form
    339,412.95/509,144.94 = 102,774.69/x
  3. Step 3: Cross multiply
    339,412.95x = 509,144.94 × 102,774.69
  4. Step 4: Simplify right side
    339,412.95x = 52,327,213,373.57
  5. Step 5: Solve for x
    x = 52,327,213,373.57/339,412.95
  6. Step 6: Final answer
    x = 154,169.76

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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.