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Finding the Fourth Proportional to 256,758.14, 385,228.39 and 114,590.49

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Solution

The fourth proportional to 256,758.14, 385,228.39 and 114,590.49 is: 171,926.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,758.14 : 385,228.39 = 114,590.49 : x
  2. Step 2: Convert to fraction form
    256,758.14/385,228.39 = 114,590.49/x
  3. Step 3: Cross multiply
    256,758.14x = 385,228.39 × 114,590.49
  4. Step 4: Simplify right side
    256,758.14x = 44,143,509,972.01
  5. Step 5: Solve for x
    x = 44,143,509,972.01/256,758.14
  6. Step 6: Final answer
    x = 171,926.43

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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.