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Finding the Fourth Proportional to 258,692.32, 356,966.40 and 145,512.64

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Solution

The fourth proportional to 258,692.32, 356,966.40 and 145,512.64 is: 200,791.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,692.32 : 356,966.40 = 145,512.64 : x
  2. Step 2: Convert to fraction form
    258,692.32/356,966.40 = 145,512.64/x
  3. Step 3: Cross multiply
    258,692.32x = 356,966.40 × 145,512.64
  4. Step 4: Simplify right side
    258,692.32x = 51,943,123,255.30
  5. Step 5: Solve for x
    x = 51,943,123,255.30/258,692.32
  6. Step 6: Final answer
    x = 200,791.13

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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.