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Finding the Fourth Proportional to 354,797.28, 531,733.86 and 144,189

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Solution

The fourth proportional to 354,797.28, 531,733.86 and 144,189 is: 216,095.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,797.28 : 531,733.86 = 144,189 : x
  2. Step 2: Convert to fraction form
    354,797.28/531,733.86 = 144,189/x
  3. Step 3: Cross multiply
    354,797.28x = 531,733.86 × 144,189
  4. Step 4: Simplify right side
    354,797.28x = 76,670,173,539.54
  5. Step 5: Solve for x
    x = 76,670,173,539.54/354,797.28
  6. Step 6: Final answer
    x = 216,095.72

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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.