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Finding the Fourth Proportional to 653,990.98, 980,976.74 and 180,665.86

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Solution

The fourth proportional to 653,990.98, 980,976.74 and 180,665.86 is: 270,996.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,990.98 : 980,976.74 = 180,665.86 : x
  2. Step 2: Convert to fraction form
    653,990.98/980,976.74 = 180,665.86/x
  3. Step 3: Cross multiply
    653,990.98x = 980,976.74 × 180,665.86
  4. Step 4: Simplify right side
    653,990.98x = 177,229,006,372.10
  5. Step 5: Solve for x
    x = 177,229,006,372.10/653,990.98
  6. Step 6: Final answer
    x = 270,996.10

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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.