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Finding the Fourth Proportional to 354,095.80, 531,446.10 and 143,884.60

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Solution

The fourth proportional to 354,095.80, 531,446.10 and 143,884.60 is: 215,949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,095.80 : 531,446.10 = 143,884.60 : x
  2. Step 2: Convert to fraction form
    354,095.80/531,446.10 = 143,884.60/x
  3. Step 3: Cross multiply
    354,095.80x = 531,446.10 × 143,884.60
  4. Step 4: Simplify right side
    354,095.80x = 76,466,909,520.06
  5. Step 5: Solve for x
    x = 76,466,909,520.06/354,095.80
  6. Step 6: Final answer
    x = 215,949.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.