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Finding the Fourth Proportional to 256,717.71, 384,817.77 and 107,040.65

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Solution

The fourth proportional to 256,717.71, 384,817.77 and 107,040.65 is: 160,453.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,717.71 : 384,817.77 = 107,040.65 : x
  2. Step 2: Convert to fraction form
    256,717.71/384,817.77 = 107,040.65/x
  3. Step 3: Cross multiply
    256,717.71x = 384,817.77 × 107,040.65
  4. Step 4: Simplify right side
    256,717.71x = 41,191,142,308.26
  5. Step 5: Solve for x
    x = 41,191,142,308.26/256,717.71
  6. Step 6: Final answer
    x = 160,453.06

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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.