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Finding the Fourth Proportional to 267,285.66, 400,929.93 and 80,295.90

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Solution

The fourth proportional to 267,285.66, 400,929.93 and 80,295.90 is: 120,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,285.66 : 400,929.93 = 80,295.90 : x
  2. Step 2: Convert to fraction form
    267,285.66/400,929.93 = 80,295.90/x
  3. Step 3: Cross multiply
    267,285.66x = 400,929.93 × 80,295.90
  4. Step 4: Simplify right side
    267,285.66x = 32,193,029,566.29
  5. Step 5: Solve for x
    x = 32,193,029,566.29/267,285.66
  6. Step 6: Final answer
    x = 120,444.28

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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.