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Finding the Fourth Proportional to 311,387.63, 467,039.12 and 121,716

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Solution

The fourth proportional to 311,387.63, 467,039.12 and 121,716 is: 182,557.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,387.63 : 467,039.12 = 121,716 : x
  2. Step 2: Convert to fraction form
    311,387.63/467,039.12 = 121,716/x
  3. Step 3: Cross multiply
    311,387.63x = 467,039.12 × 121,716
  4. Step 4: Simplify right side
    311,387.63x = 56,846,132,921.34
  5. Step 5: Solve for x
    x = 56,846,132,921.34/311,387.63
  6. Step 6: Final answer
    x = 182,557.46

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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.