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Finding the Fourth Proportional to 256,475.73, 384,677.64 and 87,993.30

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Solution

The fourth proportional to 256,475.73, 384,677.64 and 87,993.30 is: 131,977.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,475.73 : 384,677.64 = 87,993.30 : x
  2. Step 2: Convert to fraction form
    256,475.73/384,677.64 = 87,993.30/x
  3. Step 3: Cross multiply
    256,475.73x = 384,677.64 × 87,993.30
  4. Step 4: Simplify right side
    256,475.73x = 33,849,054,979.81
  5. Step 5: Solve for x
    x = 33,849,054,979.81/256,475.73
  6. Step 6: Final answer
    x = 131,977.61

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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.