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Finding the Fourth Proportional to 352,429.86, 486,353.88 and 209,218.62

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Solution

The fourth proportional to 352,429.86, 486,353.88 and 209,218.62 is: 288,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,429.86 : 486,353.88 = 209,218.62 : x
  2. Step 2: Convert to fraction form
    352,429.86/486,353.88 = 209,218.62/x
  3. Step 3: Cross multiply
    352,429.86x = 486,353.88 × 209,218.62
  4. Step 4: Simplify right side
    352,429.86x = 101,754,287,605.25
  5. Step 5: Solve for x
    x = 101,754,287,605.25/352,429.86
  6. Step 6: Final answer
    x = 288,722.10

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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.