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Finding the Fourth Proportional to 256,791.15, 384,871.23 and 144,234.77

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Solution

The fourth proportional to 256,791.15, 384,871.23 and 144,234.77 is: 216,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,791.15 : 384,871.23 = 144,234.77 : x
  2. Step 2: Convert to fraction form
    256,791.15/384,871.23 = 144,234.77/x
  3. Step 3: Cross multiply
    256,791.15x = 384,871.23 × 144,234.77
  4. Step 4: Simplify right side
    256,791.15x = 55,511,811,955.19
  5. Step 5: Solve for x
    x = 55,511,811,955.19/256,791.15
  6. Step 6: Final answer
    x = 216,174.94

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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.