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Finding the Fourth Proportional to 352,310.85, 486,187.52 and 209,188.71

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Solution

The fourth proportional to 352,310.85, 486,187.52 and 209,188.71 is: 288,679.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,310.85 : 486,187.52 = 209,188.71 : x
  2. Step 2: Convert to fraction form
    352,310.85/486,187.52 = 209,188.71/x
  3. Step 3: Cross multiply
    352,310.85x = 486,187.52 × 209,188.71
  4. Step 4: Simplify right side
    352,310.85x = 101,704,939,080.96
  5. Step 5: Solve for x
    x = 101,704,939,080.96/352,310.85
  6. Step 6: Final answer
    x = 288,679.55

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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.