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Finding the Fourth Proportional to 505,172.82, 757,103.13 and 205,304.45

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Solution

The fourth proportional to 505,172.82, 757,103.13 and 205,304.45 is: 307,690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,172.82 : 757,103.13 = 205,304.45 : x
  2. Step 2: Convert to fraction form
    505,172.82/757,103.13 = 205,304.45/x
  3. Step 3: Cross multiply
    505,172.82x = 757,103.13 × 205,304.45
  4. Step 4: Simplify right side
    505,172.82x = 155,436,637,912.41
  5. Step 5: Solve for x
    x = 155,436,637,912.41/505,172.82
  6. Step 6: Final answer
    x = 307,690.02

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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.