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Finding the Fourth Proportional to 329,121.84, 493,350.30 and 129,582.24

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Solution

The fourth proportional to 329,121.84, 493,350.30 and 129,582.24 is: 194,242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,121.84 : 493,350.30 = 129,582.24 : x
  2. Step 2: Convert to fraction form
    329,121.84/493,350.30 = 129,582.24/x
  3. Step 3: Cross multiply
    329,121.84x = 493,350.30 × 129,582.24
  4. Step 4: Simplify right side
    329,121.84x = 63,929,436,978.67
  5. Step 5: Solve for x
    x = 63,929,436,978.67/329,121.84
  6. Step 6: Final answer
    x = 194,242.46

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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.