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Finding the Fourth Proportional to 311,518.76, 467,317.02 and 121,954.64

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Solution

The fourth proportional to 311,518.76, 467,317.02 and 121,954.64 is: 182,947.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,518.76 : 467,317.02 = 121,954.64 : x
  2. Step 2: Convert to fraction form
    311,518.76/467,317.02 = 121,954.64/x
  3. Step 3: Cross multiply
    311,518.76x = 467,317.02 × 121,954.64
  4. Step 4: Simplify right side
    311,518.76x = 56,991,478,939.97
  5. Step 5: Solve for x
    x = 56,991,478,939.97/311,518.76
  6. Step 6: Final answer
    x = 182,947.18

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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.