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Finding the Fourth Proportional to 311,514.76, 467,311.02 and 121,950.64

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Solution

The fourth proportional to 311,514.76, 467,311.02 and 121,950.64 is: 182,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,514.76 : 467,311.02 = 121,950.64 : x
  2. Step 2: Convert to fraction form
    311,514.76/467,311.02 = 121,950.64/x
  3. Step 3: Cross multiply
    311,514.76x = 467,311.02 × 121,950.64
  4. Step 4: Simplify right side
    311,514.76x = 56,988,877,968.05
  5. Step 5: Solve for x
    x = 56,988,877,968.05/311,514.76
  6. Step 6: Final answer
    x = 182,941.18

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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.