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Finding the Fourth Proportional to 266,022.80, 399,293.40 and 133,053.20

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Solution

The fourth proportional to 266,022.80, 399,293.40 and 133,053.20 is: 199,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,022.80 : 399,293.40 = 133,053.20 : x
  2. Step 2: Convert to fraction form
    266,022.80/399,293.40 = 133,053.20/x
  3. Step 3: Cross multiply
    266,022.80x = 399,293.40 × 133,053.20
  4. Step 4: Simplify right side
    266,022.80x = 53,127,264,608.88
  5. Step 5: Solve for x
    x = 53,127,264,608.88/266,022.80
  6. Step 6: Final answer
    x = 199,709.44

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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.