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Finding the Fourth Proportional to 463,513.64, 640,020.83 and 372,578.18

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Solution

The fourth proportional to 463,513.64, 640,020.83 and 372,578.18 is: 514,456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,513.64 : 640,020.83 = 372,578.18 : x
  2. Step 2: Convert to fraction form
    463,513.64/640,020.83 = 372,578.18/x
  3. Step 3: Cross multiply
    463,513.64x = 640,020.83 × 372,578.18
  4. Step 4: Simplify right side
    463,513.64x = 238,457,790,940.49
  5. Step 5: Solve for x
    x = 238,457,790,940.49/463,513.64
  6. Step 6: Final answer
    x = 514,456.91

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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.