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Finding the Fourth Proportional to 256,857.54, 385,288.94 and 114,710.05

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Solution

The fourth proportional to 256,857.54, 385,288.94 and 114,710.05 is: 172,066.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,857.54 : 385,288.94 = 114,710.05 : x
  2. Step 2: Convert to fraction form
    256,857.54/385,288.94 = 114,710.05/x
  3. Step 3: Cross multiply
    256,857.54x = 385,288.94 × 114,710.05
  4. Step 4: Simplify right side
    256,857.54x = 44,196,513,571.85
  5. Step 5: Solve for x
    x = 44,196,513,571.85/256,857.54
  6. Step 6: Final answer
    x = 172,066.25

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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.