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Finding the Fourth Proportional to 389,383, 537,345.41 and 226,054.66

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Solution

The fourth proportional to 389,383, 537,345.41 and 226,054.66 is: 311,953.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,383 : 537,345.41 = 226,054.66 : x
  2. Step 2: Convert to fraction form
    389,383/537,345.41 = 226,054.66/x
  3. Step 3: Cross multiply
    389,383x = 537,345.41 × 226,054.66
  4. Step 4: Simplify right side
    389,383x = 121,469,434,525.25
  5. Step 5: Solve for x
    x = 121,469,434,525.25/389,383
  6. Step 6: Final answer
    x = 311,953.62

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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.