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Finding the Fourth Proportional to 354,770.28, 531,693.36 and 144,162

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Solution

The fourth proportional to 354,770.28, 531,693.36 and 144,162 is: 216,055.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,770.28 : 531,693.36 = 144,162 : x
  2. Step 2: Convert to fraction form
    354,770.28/531,693.36 = 144,162/x
  3. Step 3: Cross multiply
    354,770.28x = 531,693.36 × 144,162
  4. Step 4: Simplify right side
    354,770.28x = 76,649,978,164.32
  5. Step 5: Solve for x
    x = 76,649,978,164.32/354,770.28
  6. Step 6: Final answer
    x = 216,055.24

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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.