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Finding the Fourth Proportional to 285,506.90, 427,793.13 and 172,845.64

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Solution

The fourth proportional to 285,506.90, 427,793.13 and 172,845.64 is: 258,985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,506.90 : 427,793.13 = 172,845.64 : x
  2. Step 2: Convert to fraction form
    285,506.90/427,793.13 = 172,845.64/x
  3. Step 3: Cross multiply
    285,506.90x = 427,793.13 × 172,845.64
  4. Step 4: Simplify right side
    285,506.90x = 73,942,176,272.97
  5. Step 5: Solve for x
    x = 73,942,176,272.97/285,506.90
  6. Step 6: Final answer
    x = 258,985.61

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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.