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Finding the Fourth Proportional to 256,774.88, 385,083.84 and 90,524

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Solution

The fourth proportional to 256,774.88, 385,083.84 and 90,524 is: 135,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,774.88 : 385,083.84 = 90,524 : x
  2. Step 2: Convert to fraction form
    256,774.88/385,083.84 = 90,524/x
  3. Step 3: Cross multiply
    256,774.88x = 385,083.84 × 90,524
  4. Step 4: Simplify right side
    256,774.88x = 34,859,329,532.16
  5. Step 5: Solve for x
    x = 34,859,329,532.16/256,774.88
  6. Step 6: Final answer
    x = 135,758.33

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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.