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Finding the Fourth Proportional to 215,886.80, 298,005.78 and 162,327.32

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Solution

The fourth proportional to 215,886.80, 298,005.78 and 162,327.32 is: 224,073.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,886.80 : 298,005.78 = 162,327.32 : x
  2. Step 2: Convert to fraction form
    215,886.80/298,005.78 = 162,327.32/x
  3. Step 3: Cross multiply
    215,886.80x = 298,005.78 × 162,327.32
  4. Step 4: Simplify right side
    215,886.80x = 48,374,479,611.91
  5. Step 5: Solve for x
    x = 48,374,479,611.91/215,886.80
  6. Step 6: Final answer
    x = 224,073.36

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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.