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Finding the Fourth Proportional to 331,346.40, 497,019.60 and 205,375.20

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Solution

The fourth proportional to 331,346.40, 497,019.60 and 205,375.20 is: 308,062.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,346.40 : 497,019.60 = 205,375.20 : x
  2. Step 2: Convert to fraction form
    331,346.40/497,019.60 = 205,375.20/x
  3. Step 3: Cross multiply
    331,346.40x = 497,019.60 × 205,375.20
  4. Step 4: Simplify right side
    331,346.40x = 102,075,499,753.92
  5. Step 5: Solve for x
    x = 102,075,499,753.92/331,346.40
  6. Step 6: Final answer
    x = 308,062.80

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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.