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Finding the Fourth Proportional to 329,838.40, 494,773.80 and 172,374.40

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Solution

The fourth proportional to 329,838.40, 494,773.80 and 172,374.40 is: 258,570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,838.40 : 494,773.80 = 172,374.40 : x
  2. Step 2: Convert to fraction form
    329,838.40/494,773.80 = 172,374.40/x
  3. Step 3: Cross multiply
    329,838.40x = 494,773.80 × 172,374.40
  4. Step 4: Simplify right side
    329,838.40x = 85,286,336,910.72
  5. Step 5: Solve for x
    x = 85,286,336,910.72/329,838.40
  6. Step 6: Final answer
    x = 258,570.07

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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.