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Finding the Fourth Proportional to 357,511.50, 493,358.94 and 196,362.81

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Solution

The fourth proportional to 357,511.50, 493,358.94 and 196,362.81 is: 270,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,511.50 : 493,358.94 = 196,362.81 : x
  2. Step 2: Convert to fraction form
    357,511.50/493,358.94 = 196,362.81/x
  3. Step 3: Cross multiply
    357,511.50x = 493,358.94 × 196,362.81
  4. Step 4: Simplify right side
    357,511.50x = 96,877,347,797.02
  5. Step 5: Solve for x
    x = 96,877,347,797.02/357,511.50
  6. Step 6: Final answer
    x = 270,976.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.