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Finding the Fourth Proportional to 287,496.84, 396,745.56 and 160,180.56

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Solution

The fourth proportional to 287,496.84, 396,745.56 and 160,180.56 is: 221,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,496.84 : 396,745.56 = 160,180.56 : x
  2. Step 2: Convert to fraction form
    287,496.84/396,745.56 = 160,180.56/x
  3. Step 3: Cross multiply
    287,496.84x = 396,745.56 × 160,180.56
  4. Step 4: Simplify right side
    287,496.84x = 63,550,925,978.31
  5. Step 5: Solve for x
    x = 63,550,925,978.31/287,496.84
  6. Step 6: Final answer
    x = 221,049.13

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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.