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Finding the Fourth Proportional to 311,463, 467,252.82 and 145,251

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Solution

The fourth proportional to 311,463, 467,252.82 and 145,251 is: 217,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,463 : 467,252.82 = 145,251 : x
  2. Step 2: Convert to fraction form
    311,463/467,252.82 = 145,251/x
  3. Step 3: Cross multiply
    311,463x = 467,252.82 × 145,251
  4. Step 4: Simplify right side
    311,463x = 67,868,939,357.82
  5. Step 5: Solve for x
    x = 67,868,939,357.82/311,463
  6. Step 6: Final answer
    x = 217,903.70

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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.