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Finding the Fourth Proportional to 256,650.90, 384,969.15 and 116,409.30

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Solution

The fourth proportional to 256,650.90, 384,969.15 and 116,409.30 is: 174,610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,650.90 : 384,969.15 = 116,409.30 : x
  2. Step 2: Convert to fraction form
    256,650.90/384,969.15 = 116,409.30/x
  3. Step 3: Cross multiply
    256,650.90x = 384,969.15 × 116,409.30
  4. Step 4: Simplify right side
    256,650.90x = 44,813,989,273.10
  5. Step 5: Solve for x
    x = 44,813,989,273.10/256,650.90
  6. Step 6: Final answer
    x = 174,610.68

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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.