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Finding the Fourth Proportional to 256,867.67, 385,453.71 and 143,110.69

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Solution

The fourth proportional to 256,867.67, 385,453.71 and 143,110.69 is: 214,750.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,867.67 : 385,453.71 = 143,110.69 : x
  2. Step 2: Convert to fraction form
    256,867.67/385,453.71 = 143,110.69/x
  3. Step 3: Cross multiply
    256,867.67x = 385,453.71 × 143,110.69
  4. Step 4: Simplify right side
    256,867.67x = 55,162,545,437.53
  5. Step 5: Solve for x
    x = 55,162,545,437.53/256,867.67
  6. Step 6: Final answer
    x = 214,750.83

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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.