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Finding the Fourth Proportional to 312,555, 468,910.26 and 90,939

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Solution

The fourth proportional to 312,555, 468,910.26 and 90,939 is: 136,431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,555 : 468,910.26 = 90,939 : x
  2. Step 2: Convert to fraction form
    312,555/468,910.26 = 90,939/x
  3. Step 3: Cross multiply
    312,555x = 468,910.26 × 90,939
  4. Step 4: Simplify right side
    312,555x = 42,642,230,134.14
  5. Step 5: Solve for x
    x = 42,642,230,134.14/312,555
  6. Step 6: Final answer
    x = 136,431.12

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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.