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Finding the Fourth Proportional to 286,091.20, 429,331.20 and 159,731.20

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Solution

The fourth proportional to 286,091.20, 429,331.20 and 159,731.20 is: 239,705.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,091.20 : 429,331.20 = 159,731.20 : x
  2. Step 2: Convert to fraction form
    286,091.20/429,331.20 = 159,731.20/x
  3. Step 3: Cross multiply
    286,091.20x = 429,331.20 × 159,731.20
  4. Step 4: Simplify right side
    286,091.20x = 68,577,587,773.44
  5. Step 5: Solve for x
    x = 68,577,587,773.44/286,091.20
  6. Step 6: Final answer
    x = 239,705.34

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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.