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Finding the Fourth Proportional to 329,169.83, 493,877.70 and 129,629.30

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Solution

The fourth proportional to 329,169.83, 493,877.70 and 129,629.30 is: 194,492.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,169.83 : 493,877.70 = 129,629.30 : x
  2. Step 2: Convert to fraction form
    329,169.83/493,877.70 = 129,629.30/x
  3. Step 3: Cross multiply
    329,169.83x = 493,877.70 × 129,629.30
  4. Step 4: Simplify right side
    329,169.83x = 64,021,018,067.22
  5. Step 5: Solve for x
    x = 64,021,018,067.22/329,169.83
  6. Step 6: Final answer
    x = 194,492.37

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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.