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Finding the Fourth Proportional to 321,920.91, 482,553.30 and 144,380.25

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Solution

The fourth proportional to 321,920.91, 482,553.30 and 144,380.25 is: 216,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,920.91 : 482,553.30 = 144,380.25 : x
  2. Step 2: Convert to fraction form
    321,920.91/482,553.30 = 144,380.25/x
  3. Step 3: Cross multiply
    321,920.91x = 482,553.30 × 144,380.25
  4. Step 4: Simplify right side
    321,920.91x = 69,671,166,092.33
  5. Step 5: Solve for x
    x = 69,671,166,092.33/321,920.91
  6. Step 6: Final answer
    x = 216,423.24

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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.