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Finding the Fourth Proportional to 309,163.68, 463,636.17 and 147,038.64

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Solution

The fourth proportional to 309,163.68, 463,636.17 and 147,038.64 is: 220,505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,163.68 : 463,636.17 = 147,038.64 : x
  2. Step 2: Convert to fraction form
    309,163.68/463,636.17 = 147,038.64/x
  3. Step 3: Cross multiply
    309,163.68x = 463,636.17 × 147,038.64
  4. Step 4: Simplify right side
    309,163.68x = 68,172,431,891.61
  5. Step 5: Solve for x
    x = 68,172,431,891.61/309,163.68
  6. Step 6: Final answer
    x = 220,505.95

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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.