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Finding the Fourth Proportional to 286,997.56, 430,301.52 and 160,724.64

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Solution

The fourth proportional to 286,997.56, 430,301.52 and 160,724.64 is: 240,977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,997.56 : 430,301.52 = 160,724.64 : x
  2. Step 2: Convert to fraction form
    286,997.56/430,301.52 = 160,724.64/x
  3. Step 3: Cross multiply
    286,997.56x = 430,301.52 × 160,724.64
  4. Step 4: Simplify right side
    286,997.56x = 69,160,056,893.45
  5. Step 5: Solve for x
    x = 69,160,056,893.45/286,997.56
  6. Step 6: Final answer
    x = 240,977.86

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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.