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Finding the Fourth Proportional to 284,517.41, 392,629.41 and 155,453.11

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Solution

The fourth proportional to 284,517.41, 392,629.41 and 155,453.11 is: 214,522.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,517.41 : 392,629.41 = 155,453.11 : x
  2. Step 2: Convert to fraction form
    284,517.41/392,629.41 = 155,453.11/x
  3. Step 3: Cross multiply
    284,517.41x = 392,629.41 × 155,453.11
  4. Step 4: Simplify right side
    284,517.41x = 61,035,461,880.39
  5. Step 5: Solve for x
    x = 61,035,461,880.39/284,517.41
  6. Step 6: Final answer
    x = 214,522.77

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Why These Related Problems?

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