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Finding the Fourth Proportional to 331,788, 497,683.82 and 82,470

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Solution

The fourth proportional to 331,788, 497,683.82 and 82,470 is: 123,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,788 : 497,683.82 = 82,470 : x
  2. Step 2: Convert to fraction form
    331,788/497,683.82 = 82,470/x
  3. Step 3: Cross multiply
    331,788x = 497,683.82 × 82,470
  4. Step 4: Simplify right side
    331,788x = 41,043,984,841.58
  5. Step 5: Solve for x
    x = 41,043,984,841.58/331,788
  6. Step 6: Final answer
    x = 123,705.45

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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.