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Finding the Fourth Proportional to 352,817.72, 486,930.16 and 209,578.32

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Solution

The fourth proportional to 352,817.72, 486,930.16 and 209,578.32 is: 289,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,817.72 : 486,930.16 = 209,578.32 : x
  2. Step 2: Convert to fraction form
    352,817.72/486,930.16 = 209,578.32/x
  3. Step 3: Cross multiply
    352,817.72x = 486,930.16 × 209,578.32
  4. Step 4: Simplify right side
    352,817.72x = 102,050,004,890.13
  5. Step 5: Solve for x
    x = 102,050,004,890.13/352,817.72
  6. Step 6: Final answer
    x = 289,242.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.