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Finding the Fourth Proportional to 321,859.25, 482,672.19 and 144,274.85

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Solution

The fourth proportional to 321,859.25, 482,672.19 and 144,274.85 is: 216,359.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,859.25 : 482,672.19 = 144,274.85 : x
  2. Step 2: Convert to fraction form
    321,859.25/482,672.19 = 144,274.85/x
  3. Step 3: Cross multiply
    321,859.25x = 482,672.19 × 144,274.85
  4. Step 4: Simplify right side
    321,859.25x = 69,637,457,811.42
  5. Step 5: Solve for x
    x = 69,637,457,811.42/321,859.25
  6. Step 6: Final answer
    x = 216,359.97

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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.