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Finding the Fourth Proportional to 286,993.72, 396,051.33 and 159,669.28

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Solution

The fourth proportional to 286,993.72, 396,051.33 and 159,669.28 is: 220,343.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,993.72 : 396,051.33 = 159,669.28 : x
  2. Step 2: Convert to fraction form
    286,993.72/396,051.33 = 159,669.28/x
  3. Step 3: Cross multiply
    286,993.72x = 396,051.33 × 159,669.28
  4. Step 4: Simplify right side
    286,993.72x = 63,237,230,704.14
  5. Step 5: Solve for x
    x = 63,237,230,704.14/286,993.72
  6. Step 6: Final answer
    x = 220,343.60

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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.