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Finding the Fourth Proportional to 312,405.77, 468,610.16 and 75,748.43

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Solution

The fourth proportional to 312,405.77, 468,610.16 and 75,748.43 is: 113,623.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,405.77 : 468,610.16 = 75,748.43 : x
  2. Step 2: Convert to fraction form
    312,405.77/468,610.16 = 75,748.43/x
  3. Step 3: Cross multiply
    312,405.77x = 468,610.16 × 75,748.43
  4. Step 4: Simplify right side
    312,405.77x = 35,496,481,180.26
  5. Step 5: Solve for x
    x = 35,496,481,180.26/312,405.77
  6. Step 6: Final answer
    x = 113,623.00

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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.