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Finding the Fourth Proportional to 339,858.12, 509,794.74 and 123,709.80

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Solution

The fourth proportional to 339,858.12, 509,794.74 and 123,709.80 is: 185,567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,858.12 : 509,794.74 = 123,709.80 : x
  2. Step 2: Convert to fraction form
    339,858.12/509,794.74 = 123,709.80/x
  3. Step 3: Cross multiply
    339,858.12x = 509,794.74 × 123,709.80
  4. Step 4: Simplify right side
    339,858.12x = 63,066,605,326.45
  5. Step 5: Solve for x
    x = 63,066,605,326.45/339,858.12
  6. Step 6: Final answer
    x = 185,567.45

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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.