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Finding the Fourth Proportional to 285,506.52, 427,792.56 and 172,845.27

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Solution

The fourth proportional to 285,506.52, 427,792.56 and 172,845.27 is: 258,985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,506.52 : 427,792.56 = 172,845.27 : x
  2. Step 2: Convert to fraction form
    285,506.52/427,792.56 = 172,845.27/x
  3. Step 3: Cross multiply
    285,506.52x = 427,792.56 × 172,845.27
  4. Step 4: Simplify right side
    285,506.52x = 73,941,920,537.19
  5. Step 5: Solve for x
    x = 73,941,920,537.19/285,506.52
  6. Step 6: Final answer
    x = 258,985.05

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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.