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Finding the Fourth Proportional to 322,467.24, 483,711.78 and 85,810.14

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Solution

The fourth proportional to 322,467.24, 483,711.78 and 85,810.14 is: 128,718.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,467.24 : 483,711.78 = 85,810.14 : x
  2. Step 2: Convert to fraction form
    322,467.24/483,711.78 = 85,810.14/x
  3. Step 3: Cross multiply
    322,467.24x = 483,711.78 × 85,810.14
  4. Step 4: Simplify right side
    322,467.24x = 41,507,375,561.45
  5. Step 5: Solve for x
    x = 41,507,375,561.45/322,467.24
  6. Step 6: Final answer
    x = 128,718.12

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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.