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Finding the Fourth Proportional to 331,805.10, 497,707.65 and 82,487.10

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Solution

The fourth proportional to 331,805.10, 497,707.65 and 82,487.10 is: 123,730.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,805.10 : 497,707.65 = 82,487.10 : x
  2. Step 2: Convert to fraction form
    331,805.10/497,707.65 = 82,487.10/x
  3. Step 3: Cross multiply
    331,805.10x = 497,707.65 × 82,487.10
  4. Step 4: Simplify right side
    331,805.10x = 41,054,460,696.32
  5. Step 5: Solve for x
    x = 41,054,460,696.32/331,805.10
  6. Step 6: Final answer
    x = 123,730.65

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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.