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Finding the Fourth Proportional to 287,199.81, 430,996.55 and 100,211.31

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Solution

The fourth proportional to 287,199.81, 430,996.55 and 100,211.31 is: 150,385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,199.81 : 430,996.55 = 100,211.31 : x
  2. Step 2: Convert to fraction form
    287,199.81/430,996.55 = 100,211.31/x
  3. Step 3: Cross multiply
    287,199.81x = 430,996.55 × 100,211.31
  4. Step 4: Simplify right side
    287,199.81x = 43,190,728,379.92
  5. Step 5: Solve for x
    x = 43,190,728,379.92/287,199.81
  6. Step 6: Final answer
    x = 150,385.64

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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.