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Finding the Fourth Proportional to 375,865.28, 518,692.56 and 206,110.16

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Solution

The fourth proportional to 375,865.28, 518,692.56 and 206,110.16 is: 284,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,865.28 : 518,692.56 = 206,110.16 : x
  2. Step 2: Convert to fraction form
    375,865.28/518,692.56 = 206,110.16/x
  3. Step 3: Cross multiply
    375,865.28x = 518,692.56 × 206,110.16
  4. Step 4: Simplify right side
    375,865.28x = 106,907,806,532.41
  5. Step 5: Solve for x
    x = 106,907,806,532.41/375,865.28
  6. Step 6: Final answer
    x = 284,431.18

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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.