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Finding the Fourth Proportional to 330,702, 496,053 and 81,384

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Solution

The fourth proportional to 330,702, 496,053 and 81,384 is: 122,076

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,702 : 496,053 = 81,384 : x
  2. Step 2: Convert to fraction form
    330,702/496,053 = 81,384/x
  3. Step 3: Cross multiply
    330,702x = 496,053 × 81,384
  4. Step 4: Simplify right side
    330,702x = 40,370,777,352
  5. Step 5: Solve for x
    x = 40,370,777,352/330,702
  6. Step 6: Final answer
    x = 122,076

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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.