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Finding the Fourth Proportional to 407,028.12, 610,635.18 and 140,788.41

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Solution

The fourth proportional to 407,028.12, 610,635.18 and 140,788.41 is: 211,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,028.12 : 610,635.18 = 140,788.41 : x
  2. Step 2: Convert to fraction form
    407,028.12/610,635.18 = 140,788.41/x
  3. Step 3: Cross multiply
    407,028.12x = 610,635.18 × 140,788.41
  4. Step 4: Simplify right side
    407,028.12x = 85,970,356,082.26
  5. Step 5: Solve for x
    x = 85,970,356,082.26/407,028.12
  6. Step 6: Final answer
    x = 211,214.78

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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.