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Finding the Fourth Proportional to 200,666.30, 300,999.45 and 82,276.70

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Solution

The fourth proportional to 200,666.30, 300,999.45 and 82,276.70 is: 123,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,666.30 : 300,999.45 = 82,276.70 : x
  2. Step 2: Convert to fraction form
    200,666.30/300,999.45 = 82,276.70/x
  3. Step 3: Cross multiply
    200,666.30x = 300,999.45 × 82,276.70
  4. Step 4: Simplify right side
    200,666.30x = 24,765,241,447.82
  5. Step 5: Solve for x
    x = 24,765,241,447.82/200,666.30
  6. Step 6: Final answer
    x = 123,415.05

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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.