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Finding the Fourth Proportional to 631,361.60, 946,999.20 and 204,891.20

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Solution

The fourth proportional to 631,361.60, 946,999.20 and 204,891.20 is: 307,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,361.60 : 946,999.20 = 204,891.20 : x
  2. Step 2: Convert to fraction form
    631,361.60/946,999.20 = 204,891.20/x
  3. Step 3: Cross multiply
    631,361.60x = 946,999.20 × 204,891.20
  4. Step 4: Simplify right side
    631,361.60x = 194,031,802,487.04
  5. Step 5: Solve for x
    x = 194,031,802,487.04/631,361.60
  6. Step 6: Final answer
    x = 307,322.78

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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.