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Finding the Fourth Proportional to 331,809.40, 497,714.10 and 82,491.40

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Solution

The fourth proportional to 331,809.40, 497,714.10 and 82,491.40 is: 123,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,809.40 : 497,714.10 = 82,491.40 : x
  2. Step 2: Convert to fraction form
    331,809.40/497,714.10 = 82,491.40/x
  3. Step 3: Cross multiply
    331,809.40x = 497,714.10 × 82,491.40
  4. Step 4: Simplify right side
    331,809.40x = 41,057,132,908.74
  5. Step 5: Solve for x
    x = 41,057,132,908.74/331,809.40
  6. Step 6: Final answer
    x = 123,737.10

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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.