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Finding the Fourth Proportional to 287,111.64, 430,619.22 and 87,383.64

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Solution

The fourth proportional to 287,111.64, 430,619.22 and 87,383.64 is: 131,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,111.64 : 430,619.22 = 87,383.64 : x
  2. Step 2: Convert to fraction form
    287,111.64/430,619.22 = 87,383.64/x
  3. Step 3: Cross multiply
    287,111.64x = 430,619.22 × 87,383.64
  4. Step 4: Simplify right side
    287,111.64x = 37,629,074,897.56
  5. Step 5: Solve for x
    x = 37,629,074,897.56/287,111.64
  6. Step 6: Final answer
    x = 131,060.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.