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Finding the Fourth Proportional to 352,704.96, 486,657.12 and 209,513.28

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Solution

The fourth proportional to 352,704.96, 486,657.12 and 209,513.28 is: 289,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,704.96 : 486,657.12 = 209,513.28 : x
  2. Step 2: Convert to fraction form
    352,704.96/486,657.12 = 209,513.28/x
  3. Step 3: Cross multiply
    352,704.96x = 486,657.12 × 209,513.28
  4. Step 4: Simplify right side
    352,704.96x = 101,961,129,446.55
  5. Step 5: Solve for x
    x = 101,961,129,446.55/352,704.96
  6. Step 6: Final answer
    x = 289,083.34

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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.