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Finding the Fourth Proportional to 256,555.40, 384,670.09 and 225,028.76

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Solution

The fourth proportional to 256,555.40, 384,670.09 and 225,028.76 is: 337,400.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,555.40 : 384,670.09 = 225,028.76 : x
  2. Step 2: Convert to fraction form
    256,555.40/384,670.09 = 225,028.76/x
  3. Step 3: Cross multiply
    256,555.40x = 384,670.09 × 225,028.76
  4. Step 4: Simplify right side
    256,555.40x = 86,561,833,760.89
  5. Step 5: Solve for x
    x = 86,561,833,760.89/256,555.40
  6. Step 6: Final answer
    x = 337,400.17

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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.