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Finding the Fourth Proportional to 274,427.40, 411,986.70 and 148,168.20

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Solution

The fourth proportional to 274,427.40, 411,986.70 and 148,168.20 is: 222,438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,427.40 : 411,986.70 = 148,168.20 : x
  2. Step 2: Convert to fraction form
    274,427.40/411,986.70 = 148,168.20/x
  3. Step 3: Cross multiply
    274,427.40x = 411,986.70 × 148,168.20
  4. Step 4: Simplify right side
    274,427.40x = 61,043,327,762.94
  5. Step 5: Solve for x
    x = 61,043,327,762.94/274,427.40
  6. Step 6: Final answer
    x = 222,438.90

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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.