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Finding the Fourth Proportional to 263,533.81, 395,311.65 and 76,545.31

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Solution

The fourth proportional to 263,533.81, 395,311.65 and 76,545.31 is: 114,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,533.81 : 395,311.65 = 76,545.31 : x
  2. Step 2: Convert to fraction form
    263,533.81/395,311.65 = 76,545.31/x
  3. Step 3: Cross multiply
    263,533.81x = 395,311.65 × 76,545.31
  4. Step 4: Simplify right side
    263,533.81x = 30,259,252,795.86
  5. Step 5: Solve for x
    x = 30,259,252,795.86/263,533.81
  6. Step 6: Final answer
    x = 114,821.14

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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.