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Finding the Fourth Proportional to 312,663.91, 468,992.44 and 76,006.81

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Solution

The fourth proportional to 312,663.91, 468,992.44 and 76,006.81 is: 114,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,663.91 : 468,992.44 = 76,006.81 : x
  2. Step 2: Convert to fraction form
    312,663.91/468,992.44 = 76,006.81/x
  3. Step 3: Cross multiply
    312,663.91x = 468,992.44 × 76,006.81
  4. Step 4: Simplify right side
    312,663.91x = 35,646,619,278.52
  5. Step 5: Solve for x
    x = 35,646,619,278.52/312,663.91
  6. Step 6: Final answer
    x = 114,009.38

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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.