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Finding the Fourth Proportional to 287,211.75, 430,817.64 and 76,844.22

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Solution

The fourth proportional to 287,211.75, 430,817.64 and 76,844.22 is: 115,266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,211.75 : 430,817.64 = 76,844.22 : x
  2. Step 2: Convert to fraction form
    287,211.75/430,817.64 = 76,844.22/x
  3. Step 3: Cross multiply
    287,211.75x = 430,817.64 × 76,844.22
  4. Step 4: Simplify right side
    287,211.75x = 33,105,845,508.04
  5. Step 5: Solve for x
    x = 33,105,845,508.04/287,211.75
  6. Step 6: Final answer
    x = 115,266.33

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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.