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Finding the Fourth Proportional to 285,179.76, 427,637.64 and 160,520.72

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Solution

The fourth proportional to 285,179.76, 427,637.64 and 160,520.72 is: 240,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,179.76 : 427,637.64 = 160,520.72 : x
  2. Step 2: Convert to fraction form
    285,179.76/427,637.64 = 160,520.72/x
  3. Step 3: Cross multiply
    285,179.76x = 427,637.64 × 160,520.72
  4. Step 4: Simplify right side
    285,179.76x = 68,644,701,871.90
  5. Step 5: Solve for x
    x = 68,644,701,871.90/285,179.76
  6. Step 6: Final answer
    x = 240,706.78

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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.