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Finding the Fourth Proportional to 496,111.20, 744,166.80 and 318,964.20

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Solution

The fourth proportional to 496,111.20, 744,166.80 and 318,964.20 is: 478,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,111.20 : 744,166.80 = 318,964.20 : x
  2. Step 2: Convert to fraction form
    496,111.20/744,166.80 = 318,964.20/x
  3. Step 3: Cross multiply
    496,111.20x = 744,166.80 × 318,964.20
  4. Step 4: Simplify right side
    496,111.20x = 237,362,568,028.56
  5. Step 5: Solve for x
    x = 237,362,568,028.56/496,111.20
  6. Step 6: Final answer
    x = 478,446.30

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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.