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Finding the Fourth Proportional to 266,782.72, 368,293.80 and 206,216.32

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Solution

The fourth proportional to 266,782.72, 368,293.80 and 206,216.32 is: 284,681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,782.72 : 368,293.80 = 206,216.32 : x
  2. Step 2: Convert to fraction form
    266,782.72/368,293.80 = 206,216.32/x
  3. Step 3: Cross multiply
    266,782.72x = 368,293.80 × 206,216.32
  4. Step 4: Simplify right side
    266,782.72x = 75,948,192,114.82
  5. Step 5: Solve for x
    x = 75,948,192,114.82/266,782.72
  6. Step 6: Final answer
    x = 284,681.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.