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Finding the Fourth Proportional to 287,192.98, 396,448.83 and 204,460.30

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Solution

The fourth proportional to 287,192.98, 396,448.83 and 204,460.30 is: 282,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,192.98 : 396,448.83 = 204,460.30 : x
  2. Step 2: Convert to fraction form
    287,192.98/396,448.83 = 204,460.30/x
  3. Step 3: Cross multiply
    287,192.98x = 396,448.83 × 204,460.30
  4. Step 4: Simplify right side
    287,192.98x = 81,058,046,716.45
  5. Step 5: Solve for x
    x = 81,058,046,716.45/287,192.98
  6. Step 6: Final answer
    x = 282,242.44

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1.5x scale

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.