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Finding the Fourth Proportional to 256,553.15, 384,666.71 and 225,026.51

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Solution

The fourth proportional to 256,553.15, 384,666.71 and 225,026.51 is: 337,396.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,553.15 : 384,666.71 = 225,026.51 : x
  2. Step 2: Convert to fraction form
    256,553.15/384,666.71 = 225,026.51/x
  3. Step 3: Cross multiply
    256,553.15x = 384,666.71 × 225,026.51
  4. Step 4: Simplify right side
    256,553.15x = 86,560,209,360.30
  5. Step 5: Solve for x
    x = 86,560,209,360.30/256,553.15
  6. Step 6: Final answer
    x = 337,396.79

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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.