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Finding the Fourth Proportional to 274,622.40, 411,978.03 and 85,038.21

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Solution

The fourth proportional to 274,622.40, 411,978.03 and 85,038.21 is: 127,571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,622.40 : 411,978.03 = 85,038.21 : x
  2. Step 2: Convert to fraction form
    274,622.40/411,978.03 = 85,038.21/x
  3. Step 3: Cross multiply
    274,622.40x = 411,978.03 × 85,038.21
  4. Step 4: Simplify right side
    274,622.40x = 35,033,874,230.53
  5. Step 5: Solve for x
    x = 35,033,874,230.53/274,622.40
  6. Step 6: Final answer
    x = 127,571.07

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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.