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Finding the Fourth Proportional to 275,721.60, 413,485.20 and 98,234.40

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Solution

The fourth proportional to 275,721.60, 413,485.20 and 98,234.40 is: 147,316.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,721.60 : 413,485.20 = 98,234.40 : x
  2. Step 2: Convert to fraction form
    275,721.60/413,485.20 = 98,234.40/x
  3. Step 3: Cross multiply
    275,721.60x = 413,485.20 × 98,234.40
  4. Step 4: Simplify right side
    275,721.60x = 40,618,470,530.88
  5. Step 5: Solve for x
    x = 40,618,470,530.88/275,721.60
  6. Step 6: Final answer
    x = 147,316.97

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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.