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Finding the Fourth Proportional to 323,136, 445,962.24 and 189,112.32

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Solution

The fourth proportional to 323,136, 445,962.24 and 189,112.32 is: 260,995.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,136 : 445,962.24 = 189,112.32 : x
  2. Step 2: Convert to fraction form
    323,136/445,962.24 = 189,112.32/x
  3. Step 3: Cross multiply
    323,136x = 445,962.24 × 189,112.32
  4. Step 4: Simplify right side
    323,136x = 84,336,953,838.80
  5. Step 5: Solve for x
    x = 84,336,953,838.80/323,136
  6. Step 6: Final answer
    x = 260,995.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.