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Finding the Fourth Proportional to 256,918.75, 385,350.44 and 67,398.12

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Solution

The fourth proportional to 256,918.75, 385,350.44 and 67,398.12 is: 101,089.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,918.75 : 385,350.44 = 67,398.12 : x
  2. Step 2: Convert to fraction form
    256,918.75/385,350.44 = 67,398.12/x
  3. Step 3: Cross multiply
    256,918.75x = 385,350.44 × 67,398.12
  4. Step 4: Simplify right side
    256,918.75x = 25,971,894,250.28
  5. Step 5: Solve for x
    x = 25,971,894,250.28/256,918.75
  6. Step 6: Final answer
    x = 101,089.91

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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.