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Finding the Fourth Proportional to 322,405.20, 482,686.20 and 313,189.20

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Solution

The fourth proportional to 322,405.20, 482,686.20 and 313,189.20 is: 468,888.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,405.20 : 482,686.20 = 313,189.20 : x
  2. Step 2: Convert to fraction form
    322,405.20/482,686.20 = 313,189.20/x
  3. Step 3: Cross multiply
    322,405.20x = 482,686.20 × 313,189.20
  4. Step 4: Simplify right side
    322,405.20x = 151,172,104,829.04
  5. Step 5: Solve for x
    x = 151,172,104,829.04/322,405.20
  6. Step 6: Final answer
    x = 468,888.54

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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.