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Finding the Fourth Proportional to 287,282.95, 396,453.21 and 159,961.28

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Solution

The fourth proportional to 287,282.95, 396,453.21 and 159,961.28 is: 220,748.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,282.95 : 396,453.21 = 159,961.28 : x
  2. Step 2: Convert to fraction form
    287,282.95/396,453.21 = 159,961.28/x
  3. Step 3: Cross multiply
    287,282.95x = 396,453.21 × 159,961.28
  4. Step 4: Simplify right side
    287,282.95x = 63,417,163,029.53
  5. Step 5: Solve for x
    x = 63,417,163,029.53/287,282.95
  6. Step 6: Final answer
    x = 220,748.09

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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.