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Finding the Fourth Proportional to 311,513.76, 467,309.52 and 121,949.64

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Solution

The fourth proportional to 311,513.76, 467,309.52 and 121,949.64 is: 182,939.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,513.76 : 467,309.52 = 121,949.64 : x
  2. Step 2: Convert to fraction form
    311,513.76/467,309.52 = 121,949.64/x
  3. Step 3: Cross multiply
    311,513.76x = 467,309.52 × 121,949.64
  4. Step 4: Simplify right side
    311,513.76x = 56,988,227,732.57
  5. Step 5: Solve for x
    x = 56,988,227,732.57/311,513.76
  6. Step 6: Final answer
    x = 182,939.68

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1.5x scale

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.