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Finding the Fourth Proportional to 408,005.88, 563,036.88 and 226,713.12

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Solution

The fourth proportional to 408,005.88, 563,036.88 and 226,713.12 is: 312,857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,005.88 : 563,036.88 = 226,713.12 : x
  2. Step 2: Convert to fraction form
    408,005.88/563,036.88 = 226,713.12/x
  3. Step 3: Cross multiply
    408,005.88x = 563,036.88 × 226,713.12
  4. Step 4: Simplify right side
    408,005.88x = 127,647,847,739.87
  5. Step 5: Solve for x
    x = 127,647,847,739.87/408,005.88
  6. Step 6: Final answer
    x = 312,857.86

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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.