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Finding the Fourth Proportional to 287,162.48, 396,297.28 and 159,846.32

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Solution

The fourth proportional to 287,162.48, 396,297.28 and 159,846.32 is: 220,595.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,162.48 : 396,297.28 = 159,846.32 : x
  2. Step 2: Convert to fraction form
    287,162.48/396,297.28 = 159,846.32/x
  3. Step 3: Cross multiply
    287,162.48x = 396,297.28 × 159,846.32
  4. Step 4: Simplify right side
    287,162.48x = 63,346,661,834.01
  5. Step 5: Solve for x
    x = 63,346,661,834.01/287,162.48
  6. Step 6: Final answer
    x = 220,595.19

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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.