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Finding the Fourth Proportional to 354,200.40, 531,430.20 and 143,859.60

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Solution

The fourth proportional to 354,200.40, 531,430.20 and 143,859.60 is: 215,842.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,200.40 : 531,430.20 = 143,859.60 : x
  2. Step 2: Convert to fraction form
    354,200.40/531,430.20 = 143,859.60/x
  3. Step 3: Cross multiply
    354,200.40x = 531,430.20 × 143,859.60
  4. Step 4: Simplify right side
    354,200.40x = 76,451,335,999.92
  5. Step 5: Solve for x
    x = 76,451,335,999.92/354,200.40
  6. Step 6: Final answer
    x = 215,842.04

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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.