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Finding the Fourth Proportional to 411,879.80, 617,819.70 and 145,638.20

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Solution

The fourth proportional to 411,879.80, 617,819.70 and 145,638.20 is: 218,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,879.80 : 617,819.70 = 145,638.20 : x
  2. Step 2: Convert to fraction form
    411,879.80/617,819.70 = 145,638.20/x
  3. Step 3: Cross multiply
    411,879.80x = 617,819.70 × 145,638.20
  4. Step 4: Simplify right side
    411,879.80x = 89,978,149,032.54
  5. Step 5: Solve for x
    x = 89,978,149,032.54/411,879.80
  6. Step 6: Final answer
    x = 218,457.30

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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.