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Finding the Fourth Proportional to 329,920.58, 494,782.14 and 172,062.92

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Solution

The fourth proportional to 329,920.58, 494,782.14 and 172,062.92 is: 258,042.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,920.58 : 494,782.14 = 172,062.92 : x
  2. Step 2: Convert to fraction form
    329,920.58/494,782.14 = 172,062.92/x
  3. Step 3: Cross multiply
    329,920.58x = 494,782.14 × 172,062.92
  4. Step 4: Simplify right side
    329,920.58x = 85,133,657,298.34
  5. Step 5: Solve for x
    x = 85,133,657,298.34/329,920.58
  6. Step 6: Final answer
    x = 258,042.89

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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.