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Finding the Fourth Proportional to 287,496.45, 396,745.52 and 160,176.51

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Solution

The fourth proportional to 287,496.45, 396,745.52 and 160,176.51 is: 221,043.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,496.45 : 396,745.52 = 160,176.51 : x
  2. Step 2: Convert to fraction form
    287,496.45/396,745.52 = 160,176.51/x
  3. Step 3: Cross multiply
    287,496.45x = 396,745.52 × 160,176.51
  4. Step 4: Simplify right side
    287,496.45x = 63,549,311,950.85
  5. Step 5: Solve for x
    x = 63,549,311,950.85/287,496.45
  6. Step 6: Final answer
    x = 221,043.81

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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.