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Finding the Fourth Proportional to 322,133.20, 482,969.40 and 144,494.80

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Solution

The fourth proportional to 322,133.20, 482,969.40 and 144,494.80 is: 216,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,133.20 : 482,969.40 = 144,494.80 : x
  2. Step 2: Convert to fraction form
    322,133.20/482,969.40 = 144,494.80/x
  3. Step 3: Cross multiply
    322,133.20x = 482,969.40 × 144,494.80
  4. Step 4: Simplify right side
    322,133.20x = 69,786,566,859.12
  5. Step 5: Solve for x
    x = 69,786,566,859.12/322,133.20
  6. Step 6: Final answer
    x = 216,638.85

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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.