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Finding the Fourth Proportional to 284,391.36, 392,443.92 and 163,513.44

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Solution

The fourth proportional to 284,391.36, 392,443.92 and 163,513.44 is: 225,639.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,391.36 : 392,443.92 = 163,513.44 : x
  2. Step 2: Convert to fraction form
    284,391.36/392,443.92 = 163,513.44/x
  3. Step 3: Cross multiply
    284,391.36x = 392,443.92 × 163,513.44
  4. Step 4: Simplify right side
    284,391.36x = 64,169,855,366.28
  5. Step 5: Solve for x
    x = 64,169,855,366.28/284,391.36
  6. Step 6: Final answer
    x = 225,639.26

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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.