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Finding the Fourth Proportional to 354,771.28, 531,694.86 and 144,163

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Solution

The fourth proportional to 354,771.28, 531,694.86 and 144,163 is: 216,056.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,771.28 : 531,694.86 = 144,163 : x
  2. Step 2: Convert to fraction form
    354,771.28/531,694.86 = 144,163/x
  3. Step 3: Cross multiply
    354,771.28x = 531,694.86 × 144,163
  4. Step 4: Simplify right side
    354,771.28x = 76,650,726,102.18
  5. Step 5: Solve for x
    x = 76,650,726,102.18/354,771.28
  6. Step 6: Final answer
    x = 216,056.74

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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.