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Finding the Fourth Proportional to 274,501.80, 411,234.30 and 140,927.40

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Solution

The fourth proportional to 274,501.80, 411,234.30 and 140,927.40 is: 211,124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,501.80 : 411,234.30 = 140,927.40 : x
  2. Step 2: Convert to fraction form
    274,501.80/411,234.30 = 140,927.40/x
  3. Step 3: Cross multiply
    274,501.80x = 411,234.30 × 140,927.40
  4. Step 4: Simplify right side
    274,501.80x = 57,954,180,689.82
  5. Step 5: Solve for x
    x = 57,954,180,689.82/274,501.80
  6. Step 6: Final answer
    x = 211,124.96

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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.