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Finding the Fourth Proportional to 458,879.21, 688,082.32 and 205,942.80

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Solution

The fourth proportional to 458,879.21, 688,082.32 and 205,942.80 is: 308,808.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,879.21 : 688,082.32 = 205,942.80 : x
  2. Step 2: Convert to fraction form
    458,879.21/688,082.32 = 205,942.80/x
  3. Step 3: Cross multiply
    458,879.21x = 688,082.32 × 205,942.80
  4. Step 4: Simplify right side
    458,879.21x = 141,705,598,581.58
  5. Step 5: Solve for x
    x = 141,705,598,581.58/458,879.21
  6. Step 6: Final answer
    x = 308,808.06

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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.