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Finding the Fourth Proportional to 309,163.69, 463,746.55 and 109,489.90

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Solution

The fourth proportional to 309,163.69, 463,746.55 and 109,489.90 is: 164,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,163.69 : 463,746.55 = 109,489.90 : x
  2. Step 2: Convert to fraction form
    309,163.69/463,746.55 = 109,489.90/x
  3. Step 3: Cross multiply
    309,163.69x = 463,746.55 × 109,489.90
  4. Step 4: Simplify right side
    309,163.69x = 50,775,563,384.85
  5. Step 5: Solve for x
    x = 50,775,563,384.85/309,163.69
  6. Step 6: Final answer
    x = 164,235.21

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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.