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Finding the Fourth Proportional to 274,187.48, 411,281.20 and 154,252.40

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Solution

The fourth proportional to 274,187.48, 411,281.20 and 154,252.40 is: 231,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,187.48 : 411,281.20 = 154,252.40 : x
  2. Step 2: Convert to fraction form
    274,187.48/411,281.20 = 154,252.40/x
  3. Step 3: Cross multiply
    274,187.48x = 411,281.20 × 154,252.40
  4. Step 4: Simplify right side
    274,187.48x = 63,441,112,174.88
  5. Step 5: Solve for x
    x = 63,441,112,174.88/274,187.48
  6. Step 6: Final answer
    x = 231,378.59

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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.