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Finding the Fourth Proportional to 321,558.33, 482,332.83 and 78,400.38

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Solution

The fourth proportional to 321,558.33, 482,332.83 and 78,400.38 is: 117,599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,558.33 : 482,332.83 = 78,400.38 : x
  2. Step 2: Convert to fraction form
    321,558.33/482,332.83 = 78,400.38/x
  3. Step 3: Cross multiply
    321,558.33x = 482,332.83 × 78,400.38
  4. Step 4: Simplify right side
    321,558.33x = 37,815,077,316.66
  5. Step 5: Solve for x
    x = 37,815,077,316.66/321,558.33
  6. Step 6: Final answer
    x = 117,599.43

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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.