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Finding the Fourth Proportional to 339,984.20, 509,976.30 and 204,681.80

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Solution

The fourth proportional to 339,984.20, 509,976.30 and 204,681.80 is: 307,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,984.20 : 509,976.30 = 204,681.80 : x
  2. Step 2: Convert to fraction form
    339,984.20/509,976.30 = 204,681.80/x
  3. Step 3: Cross multiply
    339,984.20x = 509,976.30 × 204,681.80
  4. Step 4: Simplify right side
    339,984.20x = 104,382,867,041.34
  5. Step 5: Solve for x
    x = 104,382,867,041.34/339,984.20
  6. Step 6: Final answer
    x = 307,022.70

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1.5x scale

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.