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Finding the Fourth Proportional to 399,850.16, 599,873.64 and 281,752.16

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Solution

The fourth proportional to 399,850.16, 599,873.64 and 281,752.16 is: 422,697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,850.16 : 599,873.64 = 281,752.16 : x
  2. Step 2: Convert to fraction form
    399,850.16/599,873.64 = 281,752.16/x
  3. Step 3: Cross multiply
    399,850.16x = 599,873.64 × 281,752.16
  4. Step 4: Simplify right side
    399,850.16x = 169,015,693,797.06
  5. Step 5: Solve for x
    x = 169,015,693,797.06/399,850.16
  6. Step 6: Final answer
    x = 422,697.58

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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.