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Finding the Fourth Proportional to 352,822.60, 486,881.22 and 209,578.84

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Solution

The fourth proportional to 352,822.60, 486,881.22 and 209,578.84 is: 289,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,822.60 : 486,881.22 = 209,578.84 : x
  2. Step 2: Convert to fraction form
    352,822.60/486,881.22 = 209,578.84/x
  3. Step 3: Cross multiply
    352,822.60x = 486,881.22 × 209,578.84
  4. Step 4: Simplify right side
    352,822.60x = 102,040,001,305.39
  5. Step 5: Solve for x
    x = 102,040,001,305.39/352,822.60
  6. Step 6: Final answer
    x = 289,210.50

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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.