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Finding the Fourth Proportional to 352,462.92, 486,651.64 and 216,679

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Solution

The fourth proportional to 352,462.92, 486,651.64 and 216,679 is: 299,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,462.92 : 486,651.64 = 216,679 : x
  2. Step 2: Convert to fraction form
    352,462.92/486,651.64 = 216,679/x
  3. Step 3: Cross multiply
    352,462.92x = 486,651.64 × 216,679
  4. Step 4: Simplify right side
    352,462.92x = 105,447,190,703.56
  5. Step 5: Solve for x
    x = 105,447,190,703.56/352,462.92
  6. Step 6: Final answer
    x = 299,172.44

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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.