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Finding the Fourth Proportional to 274,430.40, 411,991.20 and 148,171.20

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Solution

The fourth proportional to 274,430.40, 411,991.20 and 148,171.20 is: 222,443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,430.40 : 411,991.20 = 148,171.20 : x
  2. Step 2: Convert to fraction form
    274,430.40/411,991.20 = 148,171.20/x
  3. Step 3: Cross multiply
    274,430.40x = 411,991.20 × 148,171.20
  4. Step 4: Simplify right side
    274,430.40x = 61,045,230,493.44
  5. Step 5: Solve for x
    x = 61,045,230,493.44/274,430.40
  6. Step 6: Final answer
    x = 222,443.40

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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.