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Finding the Fourth Proportional to 354,194.40, 531,421.20 and 143,853.60

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Solution

The fourth proportional to 354,194.40, 531,421.20 and 143,853.60 is: 215,833.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,194.40 : 531,421.20 = 143,853.60 : x
  2. Step 2: Convert to fraction form
    354,194.40/531,421.20 = 143,853.60/x
  3. Step 3: Cross multiply
    354,194.40x = 531,421.20 × 143,853.60
  4. Step 4: Simplify right side
    354,194.40x = 76,446,852,736.32
  5. Step 5: Solve for x
    x = 76,446,852,736.32/354,194.40
  6. Step 6: Final answer
    x = 215,833.04

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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.