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Finding the Fourth Proportional to 352,467.90, 486,658.53 and 216,684

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Solution

The fourth proportional to 352,467.90, 486,658.53 and 216,684 is: 299,179.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,467.90 : 486,658.53 = 216,684 : x
  2. Step 2: Convert to fraction form
    352,467.90/486,658.53 = 216,684/x
  3. Step 3: Cross multiply
    352,467.90x = 486,658.53 × 216,684
  4. Step 4: Simplify right side
    352,467.90x = 105,451,116,914.52
  5. Step 5: Solve for x
    x = 105,451,116,914.52/352,467.90
  6. Step 6: Final answer
    x = 299,179.35

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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.