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Finding the Fourth Proportional to 256,918.82, 385,350.50 and 67,398.17

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Solution

The fourth proportional to 256,918.82, 385,350.50 and 67,398.17 is: 101,089.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,918.82 : 385,350.50 = 67,398.17 : x
  2. Step 2: Convert to fraction form
    256,918.82/385,350.50 = 67,398.17/x
  3. Step 3: Cross multiply
    256,918.82x = 385,350.50 × 67,398.17
  4. Step 4: Simplify right side
    256,918.82x = 25,971,916,750.33
  5. Step 5: Solve for x
    x = 25,971,916,750.33/256,918.82
  6. Step 6: Final answer
    x = 101,089.98

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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.