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Finding the Fourth Proportional to 329,878.60, 494,234.70 and 292,553.80

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Solution

The fourth proportional to 329,878.60, 494,234.70 and 292,553.80 is: 438,313.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,878.60 : 494,234.70 = 292,553.80 : x
  2. Step 2: Convert to fraction form
    329,878.60/494,234.70 = 292,553.80/x
  3. Step 3: Cross multiply
    329,878.60x = 494,234.70 × 292,553.80
  4. Step 4: Simplify right side
    329,878.60x = 144,590,239,576.86
  5. Step 5: Solve for x
    x = 144,590,239,576.86/329,878.60
  6. Step 6: Final answer
    x = 438,313.49

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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.