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Finding the Fourth Proportional to 303,218.88, 454,829.96 and 78,563.76

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Solution

The fourth proportional to 303,218.88, 454,829.96 and 78,563.76 is: 117,846.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,218.88 : 454,829.96 = 78,563.76 : x
  2. Step 2: Convert to fraction form
    303,218.88/454,829.96 = 78,563.76/x
  3. Step 3: Cross multiply
    303,218.88x = 454,829.96 × 78,563.76
  4. Step 4: Simplify right side
    303,218.88x = 35,733,151,818.25
  5. Step 5: Solve for x
    x = 35,733,151,818.25/303,218.88
  6. Step 6: Final answer
    x = 117,846.06

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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.