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Finding the Fourth Proportional to 256,860.30, 385,182.02 and 76,971.24

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Solution

The fourth proportional to 256,860.30, 385,182.02 and 76,971.24 is: 115,424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,860.30 : 385,182.02 = 76,971.24 : x
  2. Step 2: Convert to fraction form
    256,860.30/385,182.02 = 76,971.24/x
  3. Step 3: Cross multiply
    256,860.30x = 385,182.02 × 76,971.24
  4. Step 4: Simplify right side
    256,860.30x = 29,647,937,705.10
  5. Step 5: Solve for x
    x = 29,647,937,705.10/256,860.30
  6. Step 6: Final answer
    x = 115,424.37

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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.