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Finding the Fourth Proportional to 287,147.82, 430,817.64 and 127,202.03

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Solution

The fourth proportional to 287,147.82, 430,817.64 and 127,202.03 is: 190,845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,147.82 : 430,817.64 = 127,202.03 : x
  2. Step 2: Convert to fraction form
    287,147.82/430,817.64 = 127,202.03/x
  3. Step 3: Cross multiply
    287,147.82x = 430,817.64 × 127,202.03
  4. Step 4: Simplify right side
    287,147.82x = 54,800,876,213.72
  5. Step 5: Solve for x
    x = 54,800,876,213.72/287,147.82
  6. Step 6: Final answer
    x = 190,845.52

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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.