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Finding the Fourth Proportional to 256,864.30, 385,188.02 and 76,975.24

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Solution

The fourth proportional to 256,864.30, 385,188.02 and 76,975.24 is: 115,430.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,864.30 : 385,188.02 = 76,975.24 : x
  2. Step 2: Convert to fraction form
    256,864.30/385,188.02 = 76,975.24/x
  3. Step 3: Cross multiply
    256,864.30x = 385,188.02 × 76,975.24
  4. Step 4: Simplify right side
    256,864.30x = 29,649,940,284.62
  5. Step 5: Solve for x
    x = 29,649,940,284.62/256,864.30
  6. Step 6: Final answer
    x = 115,430.37

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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.