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Finding the Fourth Proportional to 287,503.58, 430,778.64 and 174,843.02

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Solution

The fourth proportional to 287,503.58, 430,778.64 and 174,843.02 is: 261,974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,503.58 : 430,778.64 = 174,843.02 : x
  2. Step 2: Convert to fraction form
    287,503.58/430,778.64 = 174,843.02/x
  3. Step 3: Cross multiply
    287,503.58x = 430,778.64 × 174,843.02
  4. Step 4: Simplify right side
    287,503.58x = 75,318,638,369.09
  5. Step 5: Solve for x
    x = 75,318,638,369.09/287,503.58
  6. Step 6: Final answer
    x = 261,974.61

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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.